Geometric Recursive and Explicit

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

Write the explicit formula for the sequence given by 3, 6, 12, 24, …

• ^a_n= 3(2)^n-1

• ^a_n= 3+(2)ⁿ

• ^a_n= 3(2)ⁿ

• ^a_n= 3+(2)^n-1

Write a recursive formula for the following sequence: 16,8, 4, 2,...

• a₁=16

  a_n=a_n-1 (2)

• a₁=16

  a_n=a_n-1 (1/2)

• a₁=16

  a_n=a_n-1 + (1/2)

• a₁=16

  a_n=a_{n-1 +} (2)

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

Write the recursive formula for the geometric sequence.

• 1

• 2

• 3

• 4

A sequence is defined recursively by the function below. What are the terms of the sequence?​ ​

• 2

• 0.0625

• 4

• 1

• 0.5

• 0.25

• 0.125

Given the explicit formula, find the 3rd term

• 6

• 12

• 3

• 1.5

The sequence 6, 18, 54...

• Arithmetic

• Geometric

• Explicit

• Recursive