Geometric Sequence Recursive and Explicit Formula

Name the Sequence:

300, 150, 75, 37.5.....

• A. Arithmetic

• B. Geometric

• C. Recursive

• D. Explicit

The Recursive Formula for the Geometric Sequence is:

The next two terms of the sequence 2,-4, 8,-16 are

• 32, 64

• 32, -64

• -64, 108

• 32, 20

Find the common ratio: 64, -16, 4, -1, ...

• r = -8

• r = -1/4

• r = -4

• r = 4

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Write the explicit formula for the geometric sequence.

• a_n = 7(1)ⁿ

• a_n = 7(-1)ⁿ

• a_n = 7(-1)^n-1

• a_n = -1(7)^n-1

Given the explicit formula for a geometric sequence find the recursive formula.

Which formula is used to find the explicit equation for geometric sequences?

• a_n = a_n-1 + d

• a_n = a_n-1 * r

• a_n = a₁ + d(n-1)

• a_n = a₁ * r^n-1

Which formula is used to find the explicit equation for geometric sequences?

• a_n = a_n-1 + d

• a_n = a_n-1 * r

• a_n = a₁ + d(n-1)

• a_n = a₁ * r^n-1