Geometric Sequences

What is a geometric sequence?

• A sequence of numbers where each term after the first is found by adding the previous term by a fixed, non-zero number called the common ratio.

• A sequence of numbers where each term after the first is found by subtracting the previous term by a fixed, non-zero number called the common ratio.

• A sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.

• A sequence of numbers where each term after the first is found by dividing the previous term by a fixed, non-zero number called the common ratio.

Identify the common ratio in the sequence: 2, 6, 18, 54, ...

• 10

• 3

• 4

• 27

Calculate the 5th term of the geometric sequence: 3, 9, 27, 81, ...

• 243

• 162

• 54

• 120

Determine if the sequence 1, 3, 6, 10, ... is a geometric sequence.

• Not sure

• Maybe

• Yes

• No

Find the common ratio in the sequence: 5, 10, 20, 40, ...

• 5

• 15

• 25

• 2

What is the formula to find the nth term of a geometric sequence?

• a + r^(n-1)

• a * r^n

• a * r^(n-1)

• a * (r-1)^n

Calculate the 8th term of the geometric sequence: 4, 12, 36, 108, ...

• 8748

• 567

• 999

• 432

Is the sequence 2, 4, 8, 16, ... a geometric sequence?

• Maybe

• No

• Only on Tuesdays

• Yes

If the first term of a geometric sequence is 3 and the common ratio is 2, what is the 6th term?

• 192

• 72

• 36

• 12

Identify the common ratio in the sequence: 9, 3, 1, 1/3, ...

• 3

• 2

• 1/3

• 5