Geometric Sequences Practice

Front

Which sequence is represented by the equation 2(7)^n-1? Options: 7, 14, 28, 56..., 2, 14, 98, 686..., 2, 9, 16, 23..., 7,9,11,13...

Back

2, 14, 98, 686...

Front

Find the common ratio: 4, -16, 64, -256, ...

Back

r = -4

Front

Determine whether the sequence is arithmetic, geometric, or neither.

Back

geometric

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

Front

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

Back

4, 20, 100, 500

Front

Find a₅ in the sequence: a_n = 5 ⋅ 2^(n-1)

Back

a₅ = 80

Front

Back

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

Describe and correct the error a student made when writing a recursive formula from an explicit formula.

Back

Front

Find a₁₁ in the following geometric sequence: -3, 6, -12, 24

Back

-3,072