Geometric Sequence

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

• 4

• 2

• 5

• 6

What is the 5th term of the sequence 7, 14, 28, ...?

• 72

• 48

• 56

• 112

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 -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

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

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

• 20, 100, 500, 2500
• 5, 20, 80, 320
• 4, 20, 100, 500
• 4, 9, 14, 19

Given the sequence:

125, 25, 5, ....

Write the rule a_n using the geometric sequence formula:

• a_n = (125)(1/5)^(n-1)

• a_n = 625(1/5)^(n-1)

• a_n = 625(5)^(n-1)

• a_n = 125 + 5n

The rule for finding a_n of a geometric sequence is

a_n = 10(2)^n-1 _{What is the common ratio(r) of the sequence?}

• ²

• ¹⁰

• ²⁰

• 2ⁿ