Geometric Sequences

Front

What is the common ratio of this sequence? 5, 25, 125, ...

Back

5

Front

What is the common ratio of the geometric sequence -1, 6, -36, 216, ...?

Back

-6

Front

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

Back

r = -1/4

Front

What is the value of the 4th term in a geometric sequence where a₁ = 1 and r = 2?

Back

8

Front

Write the explicit formula for the geometric sequence. Options: a_n = 10(2)^n-1, a_n = 2(10)^n-1, a_n = 10(2)ⁿ, a_n = 2(10)ⁿ

Back

a_n = 10(2)^n-1

Front

Write the explicit formula for the geometric sequence. Options: a_n = 4(3)^n-1, a_n = 3(4)^n-1, a_n = -4(3)^n-1, a_n = 3(-4)^n-1

Back

a_n = 3(-4)^n-1

Front

Find the 9th term in the following geometric sequence: 4, 8, 16, 32, ...

Back

1,024

Front

What is the 11th term of the geometric sequence?

Back

-19,531,250

Front

Given the sequence: 125, 25, 5, .... Write the rule a_n using the geometric sequence formula.

Back

a_n = (125)(1/5)^(n-1)

Front

A geometric sequence has a common ratio (r) of 3 and the 8th term (a₈) is 13,122. What is the first term of the sequence (a₁)?

Back

6