Arithmetic and Geometric Sequences Practice

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

Which recursive equation correctly describes the sequence?

• f(1) = 4 ; f(n) = f(n - 1) + 10

• f(1) = 10 ; f(n) = f(n - 1) + 4

• f(1) = 4 ; f(n - 1) = f(n) + 10

• f(n) = 4 ; f(n) = f(n - 1) + 10

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

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

Which recursive equation correctly describes the sequence?

• f(1) = 12 ; f(n) = f(n - 1) + 4

• f(1) = 4 ; f(n) = f(n - 1) + 12

• f(1) = 12 ; f(n - 1) = f(n) + 4

• f(n) = 12 ; f(n) = f(n - 1) + 4

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

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

Which recursive equation correctly describes the sequence?

• f(0) = 2 ; f(n) = f(n - 1) + 11

• f(0) = 11 ; f(n) = f(n - 1) + 2

• f(0) = 2 ; f(n - 1) = f(n) + 11

• f(1) = 2 ; f(n) = f(n - 1) + 11

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

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

Which recursive equation correctly describes the sequence?

• f(0) = 2 ; f(n) = f(n - 1) ⋅ 4

• f(1) = 2 ; f(n) = f(n - 1) ⋅ 4

• f(0) = 2 ; f(n) = f(n - 1) + 4

• f(0) = 2 ; f(n - 1) = f(n) ⋅ 4

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

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

Which recursive equation correctly describes the sequence?

• f(0) = 6 ; f(n) = f(n - 1) ⋅ 3

• f(1) = 6 ; f(n) = f(n - 1) ⋅ 3

• f(1) = 6 ; f(n) = f(n - 1) + 3

• f(1) = 3 ; f(n - 1) = f(n) ⋅ 6

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

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

Which recursive equation correctly describes the sequence?

• f(0) = 3 ; f(n) = f(n - 1) ⋅ 2

• f(1) = 3 ; f(n) = f(n - 1) ⋅ 2

• f(1) = 3 ; f(n) = f(n - 1) + 2

• f(1) = 3 ; f(n - 1) = f(n) ⋅ 2

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

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

Which explicit equation correctly describes the sequence?

• f(n) = 3 + 5(n - 1)

• f(n) = 3 + 5n

• f(n) = 5 + 3(n - 1)

• f(n) = 5 + 3n

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

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

Which explicit equation correctly describes the sequence?

• f(n) = 10 + 3(n - 1)

• f(n) = 10 + 3n

• f(n) = 3 + 10(n - 1)

• f(n) = 3 + 10n

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

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

Which explicit equation correctly describes the sequence?

• f(n) = 5 + 6(n - 1)

• f(n) = 5 + 6n

• f(n) = 6 + 5(n - 1)

• f(n) = 6 + 5n

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

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

Which explicit equation correctly describes the sequence?

• f(n) = 11 + 4(n - 1)

• f(n) = 11 + 4n

• f(n) = 4 + 11(n - 1)

• f(n) = 4 + 11n

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2