Geometric Sequences Check-In

Front

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

Back

r = -4

Front

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

Back

r = -1/4

Front

Find the common ratio: -3, -9, -27, -81, ...

Back

r = 3

Front

Find the next three terms: 4, 12, 36, 108, ...

Back

324, 972, 2916

Front

What is the 14th term of the geometric sequence?

Back

4,782,969

Front

What is the 11th term of the geometric sequence?

Back

-19,531,250

Front

Write the explicit formula for the geometric sequence. Options: a_n = 2(100)^n-1, a_n = 100(2)^n-1, a_n = 100(1/2)^n-1, a_n = (1/2)(100)^n-1

Back

a_n = 100(1/2)^n-1

Front

Write the explicit formula for the geometric sequence. Options: a_n = 162(2/3)^n-1, a_n = (2/3)(162)^n-1, a_n = 162(3/2)^n-1, a_n = 162 + (n-1)(-54)

Back

a_n = 162(2/3)^n-1

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

Given the recursive formula, find the first four terms:
a_n = -3⋅a_n-1
a₁ = 45

Back

45, -135, 405, -1215