The value of the first term is 9. The sequence has a constant ratio of 2. Which explicit equation correctly describes the sequence?

f ( n ) = 9 ⋅ ( 2 ) n − 1 f\left(n\right)\ =\ 9\cdot\left(2\right)^{n-1} f ( n ) = 9 ⋅ ( 2 ) n − 1

f ( n ) = 9 ⋅ ( 2 ) n f\left(n\right)\ =\ 9\cdot\left(2\right)^n f ( n ) = 9 ⋅ ( 2 ) n

f ( n ) = 2 ⋅ ( 9 ) n − 1 f\left(n\right)\ =\ 2\cdot\left(9\right)^{n-1} f ( n ) = 2 ⋅ ( 9 ) n − 1

f ( n ) = 2 ⋅ ( 9 ) n f\left(n\right)\ =\ 2\cdot\left(9\right)^n f ( n ) = 2 ⋅ ( 9 ) n

f ( 0 ) = 3 ; f ( n ) = 4 f ( n − 1 ) f\left(0\right)=3\ ;\ f\left(n\right)\ =\ 4f\left(n-1\right) f ( 0 ) = 3 ; f ( n ) = 4 f ( n − 1 ) Which explicit equation below would describe the same set of values as the recursive equation above?

f ( n ) = 3 × ( 4 ) n f\left(n\right)\ =\ 3\times\left(4\right)^n f ( n ) = 3 × ( 4 ) n

f ( n ) = 3 × ( 4 ) n − 1 f\left(n\right)=3\times\left(4\right)^{n-1} f ( n ) = 3 × ( 4 ) n − 1

f ( n ) = 4 × ( 3 ) n f\left(n\right)=4\times\left(3\right)^n f ( n ) = 4 × ( 3 ) n

f ( n ) = 4 × ( 3 ) n − 1 f\left(n\right)=4\times\left(3\right)^{n-1} f ( n ) = 4 × ( 3 ) n − 1

f ( 0 ) = 5 ; f ( n ) = 2 f ( n − 1 ) f\left(0\right)=5\ ;\ f\left(n\right)\ =\ 2f\left(n-1\right) f ( 0 ) = 5 ; f ( n ) = 2 f ( n − 1 ) Which explicit equation below would describe the same set of values as the recursive equation above?

f ( n ) = 5 × ( 2 ) n f\left(n\right)\ =\ 5\times\left(2\right)^n f ( n ) = 5 × ( 2 ) n

f ( n ) = 5 × ( 2 ) n − 1 f\left(n\right)=5\times\left(2\right)^{n-1} f ( n ) = 5 × ( 2 ) n − 1

f ( n ) = 2 × ( 5 ) n f\left(n\right)=2\times\left(5\right)^n f ( n ) = 2 × ( 5 ) n

f ( n ) = 2 × ( 5 ) n − 1 f\left(n\right)=2\times\left(5\right)^{n-1} f ( n ) = 2 × ( 5 ) n − 1

f ( 1 ) = 7 ; f ( n ) = 3 f ( n − 1 ) f\left(1\right)=7\ ;\ f\left(n\right)\ =\ 3f\left(n-1\right) f ( 1 ) = 7 ; f ( n ) = 3 f ( n − 1 ) Which explicit equation below would describe the same set of values as the recursive equation above?

f ( n ) = 7 × ( 3 ) n − 1 f\left(n\right)=7\times\left(3\right)^{n-1} f ( n ) = 7 × ( 3 ) n − 1

f ( n ) = 7 × ( 3 ) n f\left(n\right)\ =\ 7\times\left(3\right)^n f ( n ) = 7 × ( 3 ) n

f ( n ) = 3 × ( 7 ) n f\left(n\right)=3\times\left(7\right)^n f ( n ) = 3 × ( 7 ) n

f ( n ) = 3 × ( 7 ) n − 1 f\left(n\right)=3\times\left(7\right)^{n-1} f ( n ) = 3 × ( 7 ) n − 1

f ( 1 ) = 100 ; f ( n ) = 1 2 f ( n − 1 ) f\left(1\right)=100\ ;\ f\left(n\right)\ =\ \frac{1}{2}f\left(n-1\right) f ( 1 ) = 1 0 0 ; f ( n ) = 2 1 f ( n − 1 ) Which explicit equation below would describe the same set of values as the recursive equation above?

f ( n ) = 100 × ( 0.5 ) n − 1 f\left(n\right)=100\times\left(0.5\right)^{n-1} f ( n ) = 1 0 0 × ( 0 . 5 ) n − 1

f ( n ) = 100 × ( 0.5 ) n f\left(n\right)\ =\ 100\times\left(0.5\right)^n f ( n ) = 1 0 0 × ( 0 . 5 ) n

f ( n ) = 0.5 × ( 100 ) n f\left(n\right)=0.5\times\left(100\right)^n f ( n ) = 0 . 5 × ( 1 0 0 ) n

f ( n ) = 0.5 × ( 100 ) n − 1 f\left(n\right)=0.5\times\left(100\right)^{n-1} f ( n ) = 0 . 5 × ( 1 0 0 ) n − 1

f ( 0 ) = 3 ; f ( n ) = f ( n − 1 ) + 12 f\left(0\right)=3\ ;\ f\left(n\right)\ =\ f\left(n-1\right)+12 f ( 0 ) = 3 ; f ( n ) = f ( n − 1 ) + 1 2 Which explicit equation below would describe the same set of values as the recursive equation above?

f ( n ) = 3 + 12 n f\left(n\right)\ =\ 3+12n f ( n ) = 3 + 1 2 n

f ( n ) = 3 + 12 ( n − 1 ) f\left(n\right)=3+12\left(n-1\right) f ( n ) = 3 + 1 2 ( n − 1 )

f ( n ) = 12 + 3 n f\left(n\right)=12+3n f ( n ) = 1 2 + 3 n

f ( n ) = 12 + 3 ( n − 1 ) f\left(n\right)=12+3\left(n-1\right) f ( n ) = 1 2 + 3 ( n − 1 )

f ( 0 ) = 20 ; f ( n ) = f ( n − 1 ) − 2 f\left(0\right)=20\ ;\ f\left(n\right)\ =\ f\left(n-1\right)-2 f ( 0 ) = 2 0 ; f ( n ) = f ( n − 1 ) − 2 Which explicit equation below would describe the same set of values as the recursive equation above?

f ( n ) = 20 − 2 n f\left(n\right)\ =\ 20-2n f ( n ) = 2 0 − 2 n

f ( n ) = 20 − 2 ( n − 1 ) f\left(n\right)=20-2\left(n-1\right) f ( n ) = 2 0 − 2 ( n − 1 )

f ( n ) = − 2 + 20 n f\left(n\right)=-2+20n f ( n ) = − 2 + 2 0 n

f ( n ) = − 2 + 20 ( n − 1 ) f\left(n\right)=-2+20\left(n-1\right) f ( n ) = − 2 + 2 0 ( n − 1 )

f ( 1 ) = 50 ; f ( n ) = f ( n − 1 ) + 5 f\left(1\right)=50\ ;\ f\left(n\right)\ =\ f\left(n-1\right)+5 f ( 1 ) = 5 0 ; f ( n ) = f ( n − 1 ) + 5 Which explicit equation below would describe the same set of values as the recursive equation above?

f ( n ) = 50 + 5 ( n − 1 ) f\left(n\right)=50+5\left(n-1\right) f ( n ) = 5 0 + 5 ( n − 1 )

f ( n ) = 50 + 5 n f\left(n\right)\ =\ 50+5n f ( n ) = 5 0 + 5 n

f ( n ) = 5 + 50 n f\left(n\right)=5+50n f ( n ) = 5 + 5 0 n

f ( n ) = 5 + 50 ( n − 1 ) f\left(n\right)=5+50\left(n-1\right) f ( n ) = 5 + 5 0 ( n − 1 )

f ( 1 ) = 200 ; f ( n ) = f ( n − 1 ) − 8 f\left(1\right)=200\ ;\ f\left(n\right)\ =\ f\left(n-1\right)-8 f ( 1 ) = 2 0 0 ; f ( n ) = f ( n − 1 ) − 8 Which explicit equation below would describe the same set of values as the recursive equation above?

f ( n ) = 200 − 8 ( n − 1 ) f\left(n\right)=200-8\left(n-1\right) f ( n ) = 2 0 0 − 8 ( n − 1 )

f ( n ) = 200 − 8 n f\left(n\right)\ =\ 200-8n f ( n ) = 2 0 0 − 8 n

f ( n ) = − 8 + 200 n f\left(n\right)=-8+200n f ( n ) = − 8 + 2 0 0 n

f ( n ) = − 8 + 200 ( n − 1 ) f\left(n\right)=-8+200\left(n-1\right) f ( n ) = − 8 + 2 0 0 ( n − 1 )

f ( n ) = 5 ( 2 ) n f\left(n\right)=5\left(2\right)^n f ( n ) = 5 ( 2 ) n Which recursive equation below would describe the same set of values as the explicit equation above?

f ( 0 ) = 5 ; f ( n ) = 2 f ( n − 1 ) f\left(0\right)=5\ ;\ f\left(n\right)=2f\left(n-1\right) f ( 0 ) = 5 ; f ( n ) = 2 f ( n − 1 )

f ( 0 ) = 2 ; f ( n ) = 5 f ( n − 1 ) f\left(0\right)=2\ ;\ f\left(n\right)\ =5f\left(n-1\right) f ( 0 ) = 2 ; f ( n ) = 5 f ( n − 1 )

f ( 1 ) = 5 ; f ( n ) = 2 f ( n − 1 ) f\left(1\right)=5\ ;\ f\left(n\right)\ =2f\left(n-1\right) f ( 1 ) = 5 ; f ( n ) = 2 f ( n − 1 )

f ( 1 ) = 5 ; f ( n ) = 2 f ( n − 1 ) f\left(1\right)=5\ ;\ f\left(n\right)=2f\left(n-1\right) f ( 1 ) = 5 ; f ( n ) = 2 f ( n − 1 )

f ( n ) = 12 ( 3 ) n − 1 f\left(n\right)=12\left(3\right)^{n-1} f ( n ) = 1 2 ( 3 ) n − 1 Which recursive equation below would describe the same set of values as the explicit equation above?

f ( 1 ) = 12 ; f ( n ) = 3 f ( n − 1 ) f\left(1\right)=12\ ;\ f\left(n\right)\ =3f\left(n-1\right) f ( 1 ) = 1 2 ; f ( n ) = 3 f ( n − 1 )

f ( 0 ) = 12 ; f ( n ) = 3 f ( n − 1 ) f\left(0\right)=12\ ;\ f\left(n\right)=3f\left(n-1\right) f ( 0 ) = 1 2 ; f ( n ) = 3 f ( n − 1 )

f ( 0 ) = 3 ; f ( n ) = 12 f ( n − 1 ) f\left(0\right)=3\ ;\ f\left(n\right)\ =12f\left(n-1\right) f ( 0 ) = 3 ; f ( n ) = 1 2 f ( n − 1 )

f ( 1 ) = 3 ; f ( n ) = 12 f ( n − 1 ) f\left(1\right)=3\ ;\ f\left(n\right)=12f\left(n-1\right) f ( 1 ) = 3 ; f ( n ) = 1 2 f ( n − 1 )

f ( n ) = 300 − 5 n f\left(n\right)=300-5n f ( n ) = 3 0 0 − 5 n Which recursive equation below would describe the same set of values as the explicit equation above?

f ( 0 ) = 300 ; f ( n ) = f ( n − 1 ) − 5 f\left(0\right)=300\ ;\ f\left(n\right)=f\left(n-1\right)-5 f ( 0 ) = 3 0 0 ; f ( n ) = f ( n − 1 ) − 5

f ( 0 ) = − 5 ; f ( n ) = f ( n − 1 ) + 300 f\left(0\right)=-5\ ;\ f\left(n\right)\ =f\left(n-1\right)+300 f ( 0 ) = − 5 ; f ( n ) = f ( n − 1 ) + 3 0 0

f ( 1 ) = 300 ; f ( n ) = f ( n − 1 ) − 5 f\left(1\right)=300\ ;\ f\left(n\right)\ =f\left(n-1\right)-5 f ( 1 ) = 3 0 0 ; f ( n ) = f ( n − 1 ) − 5

f ( 1 ) = − 5 ; f ( n ) = f ( n − 1 ) + 300 f\left(1\right)=-5\ ;\ f\left(n\right)=f\left(n-1\right)+300 f ( 1 ) = − 5 ; f ( n ) = f ( n − 1 ) + 3 0 0

f ( n ) = 20 + 12 ( n − 1 ) f\left(n\right)=20+12\left(n-1\right) f ( n ) = 2 0 + 1 2 ( n − 1 ) Which recursive equation below would describe the same set of values as the explicit equation above?

f ( 1 ) = 20 ; f ( n ) = f ( n − 1 ) + 12 f\left(1\right)=20\ ;\ f\left(n\right)\ =f\left(n-1\right)+12 f ( 1 ) = 2 0 ; f ( n ) = f ( n − 1 ) + 1 2

f ( 0 ) = 20 ; f ( n ) = f ( n − 1 ) + 12 f\left(0\right)=20\ ;\ f\left(n\right)=f\left(n-1\right)+12 f ( 0 ) = 2 0 ; f ( n ) = f ( n − 1 ) + 1 2

f ( 0 ) = 12 ; f ( n ) = f ( n − 1 ) + 20 f\left(0\right)=12\ ;\ f\left(n\right)\ =f\left(n-1\right)+20 f ( 0 ) = 1 2 ; f ( n ) = f ( n − 1 ) + 2 0

f ( 1 ) = 12 ; f ( n ) = f ( n − 1 ) + 20 f\left(1\right)=12\ ;\ f\left(n\right)=f\left(n-1\right)+20 f ( 1 ) = 1 2 ; f ( n ) = f ( n − 1 ) + 2 0

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HSF.IF.A.3, HSF.LE.A.2, HSF.BF.A.2

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Arithmetic and Geometric Sequences Practice

26 questions

The value of the first term is 4. The sequence has a common difference of 10.

Which recursive equation correctly describes the sequence?

The value of the first term is 12. The sequence has a common difference of 4.

Which recursive equation correctly describes the sequence?

The value of the 0th term is 2. The sequence has a common difference of 11.

Which recursive equation correctly describes the sequence?

The value of the 0th term is 2. The sequence has a constant ratio of 4.

Which recursive equation correctly describes the sequence?

The value of the first term is 6. The sequence has a common ratio of 3.

Which recursive equation correctly describes the sequence?

The value of the first term is 3. The sequence has a common ratio of 2.

Which recursive equation correctly describes the sequence?

The value of the first term is 3. The sequence has a common difference of 5.

Which explicit equation correctly describes the sequence?

The value of the first term is 10. The sequence has a common difference of 3.

Which explicit equation correctly describes the sequence?

The value of the 0th term is 5. The sequence has a common difference of 6.

Which explicit equation correctly describes the sequence?

The value of the 0th term is 11. The sequence has a common difference of 4.

Which explicit equation correctly describes the sequence?

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Arithmetic and Geometric Sequences Practice

26 questions

The value of the first term is 4. The sequence has a common difference of 10.Which recursive equation correctly describes the sequence?

The value of the first term is 12. The sequence has a common difference of 4.Which recursive equation correctly describes the sequence?

The value of the 0th term is 2. The sequence has a common difference of 11.Which recursive equation correctly describes the sequence?

The value of the 0th term is 2. The sequence has a constant ratio of 4.Which recursive equation correctly describes the sequence?

The value of the first term is 6. The sequence has a common ratio of 3.Which recursive equation correctly describes the sequence?

The value of the first term is 3. The sequence has a common ratio of 2.Which recursive equation correctly describes the sequence?

The value of the first term is 3. The sequence has a common difference of 5.Which explicit equation correctly describes the sequence?

The value of the first term is 10. The sequence has a common difference of 3.Which explicit equation correctly describes the sequence?

The value of the 0th term is 5. The sequence has a common difference of 6.Which explicit equation correctly describes the sequence?

The value of the 0th term is 11. The sequence has a common difference of 4.Which explicit equation correctly describes the sequence?

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Discover more resources for Mathematics

The value of the first term is 4. The sequence has a common difference of 10.

Which recursive equation correctly describes the sequence?

The value of the first term is 12. The sequence has a common difference of 4.

Which recursive equation correctly describes the sequence?

The value of the 0th term is 2. The sequence has a common difference of 11.

Which recursive equation correctly describes the sequence?

The value of the 0th term is 2. The sequence has a constant ratio of 4.

Which recursive equation correctly describes the sequence?

The value of the first term is 6. The sequence has a common ratio of 3.

Which recursive equation correctly describes the sequence?

The value of the first term is 3. The sequence has a common ratio of 2.

Which recursive equation correctly describes the sequence?

The value of the first term is 3. The sequence has a common difference of 5.

Which explicit equation correctly describes the sequence?

The value of the first term is 10. The sequence has a common difference of 3.

Which explicit equation correctly describes the sequence?

The value of the 0th term is 5. The sequence has a common difference of 6.

Which explicit equation correctly describes the sequence?

The value of the 0th term is 11. The sequence has a common difference of 4.

Which explicit equation correctly describes the sequence?