Unit 4 Lesson 12

2, 6, 18, 54, 162, ...

What is the common ratio for the sequence?

Mathematical Equivalence

ON

2, 6, 18, 54, 162, ...

What is the next term for the sequence?

Mathematical Equivalence

ON

Answer explanation

2, 6, 18, 54, 162, ...

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Five terms provided

common ratio = r = 3

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6th= 5th(r)

6th= 162(3)= 486

256, 64, 16, 4, ...

What is the common ratio for the sequence?

Mathematical Equivalence

ON

256, 64, 16, 4, ...

What is the recursive formula for the sequence?

(ignore subscript)

Answer explanation

Recall that, r= 0.25

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a_n= 0.25(a_n-1)

256, 64, 16, 4, ...

What is the explicit formula for the sequence?

(ignore subscript; use ^ symbol for exponent)

Answer explanation

Notice that, a₁= 256

Recall that, r= 0.25

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a_n= a₁(r)^n-1

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a_n= 256(0.25)^n-1

256, 64, 16, 4, ...

What is the value for the term a₈?

Mathematical Equivalence

ON

Answer explanation

-4, -12, -36, -108, ...

What is the common ratio for the sequence?

Mathematical Equivalence

ON

-4, -12, -36, -108, ...

What is the recursive formula for the sequence?

(ignore subscript)

Answer explanation

Recall that, r= 3

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a_n= 3(a_n-1)

-4, -12, -36, -108, ...

What is the explicit formula for the sequence?

(ignore subscript; use ^ symbol for exponent)

Answer explanation

Notice that, a₁= -4

Recall that, r= 3

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a_n= a₁(r)^n-1

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a_n= -4(3)^n-1

-4, -12, -36, -108, ...

What is the value for the term a₈?

Mathematical Equivalence

ON

Answer explanation