Geometric Sequence Formulas

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

• 4

• 2

• 5

• 6

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

• -6

• 6

• 12

• -4

Solving for the nth term of geometric sequence, given that a₁ = 1 and r= 2, what is the value of the 4th term?

• 2

• 8

• 4

• 16

Solving for the nth term of geometric sequence, given that a₁ = 4 and r= 6, what is the value of the 4th term?

• 144

• 864

• 124

• 764

What is the 5th term of the geometric sequence -2, -8, -32, -128, ...?

• -2048

• -512

• -256

• -384

Find the sum of the first four terms of the geometric sequence that begins with 1 with a common ratio of 3.

• 25

• 37

• 40

• 80

Evaluate the sum of the geometric sequence 1 + 2 + 4 + 8..., n = 6

• 63

• 60

• 46

• 56

Which of the following is a geometric sequence?

• 2, 4, 5, . . .

• 2, 6, 18, . . .

• 2, 4, 6, . . .

• 10, 20, 200, . . .

What is the common ratio of the geometric sequence -2, -8, -32, -128, ...?

• -4

• 4

• -2

• 2

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