Geometric Sequence Review

Front

What does a₁ represent?

Back

First term

Front

Find the common ratio for the geometric sequence: 4, 8, 16, ...

Back

2

Front

What does r represent in a geometric sequence?

Back

Common ratio

Front

Write the explicit formula for the geometric sequence with first term 3 and common ratio -4.

Back

aₙ = 3(-4)^(n-1)

Front

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

Back

4, 20, 100, 500

Front

What is the formula for the nth term of a geometric sequence?

Back

aₙ = a₁ * r^(n-1)

Front

If a₁ = 5 and r = 3, what is a₄?

Back

135

Front

How do you find the sum of the first n terms of a geometric sequence?

Back

Sₙ = a₁(1 - rⁿ) / (1 - r) for r ≠ 1

Front

What is the common ratio if the sequence is 10, 20, 40, ...?

Back

2

Front

If a geometric sequence has a common ratio of 1/2, what happens to the terms?

Back

The terms decrease and approach zero.