Algebra 2 MCAP Review: Sequences+Polynomials+Rational

What are the next 3 terms in the following geometric sequence:

512, 256, 128, ___, ___, ___, ...

• 1024, 2048, 4096

• 32, 8, 2

• 64, 32, 16

• 92, 66, 38

Write the explicit formula for the geometric sequence.

• a_n = 4(3)^n-1
• a_n = 3(4)^n-1
• a_n = -4(3)^n-1
• a_n = 3(-4)^n-1

This image shows how a certain bacteria grows in a petri dish. What is the common ratio of this sequence?

• 4
• 3
• 2
• 6

Find the first four terms of the sequence given the rule:
a_n = 4(5)^n-1

• 20, 100, 500, 2500
• 5, 20, 80, 320
• 4, 20, 100, 500
• 4, 9, 14, 19

What is the 14th term of the geometric sequence?

• 14,348,907
• 4,782,969
• 1,594,323
• 45

Write the explicit formula for the sequence.

7, 28, 112, 448, ...

Answer explanation

7, 28, 112, 448, ...

This is a geometric sequence.

The first term (a₁) is 7.

The common ratio (r) is 4.

Given the recursive formula below, write the first three terms.

a₁ = 4

a_n = a_n-1 + 5

• 4, 20, 80

• 4, 9, 14

• 4, 13, 31

• 5, 9, 13

What is the first term of the sequence?

a₁ = 4

a_n = a_n-1 + 5

The sequence 1, 2, 4, 8, ... is

• arithmetic

• geometric

• neither

Answer explanation

1, 2, 4, 8, ...

is a geometric sequence because you multiply (by 2) to find the next term.

Find the common ratio for the geometric sequence:
64, 16, 4,...

• 4
• -4
• ¼
• -¼