Determine whether the sequence is arithmetic, geometric, or neither. Give explanation for your answer.

3, 15, 75, 375, ....

Find the next three terms of the geometric sequence.

243, –81, 27, .....

Find the geometric mean of the given pair of numbers:

3, 12

Calculate the missing terms in the geometric sequence, if a _{ 1 } = 8.1, and a _{ 5 } = 240.1.

Find a formula for the n th term of the geometric sequence.

r = 2, a _{ 1 } = 3

Find a formula for the n th term of the geometric sequence:

192, –48, 12, –3, ........

Find a _{ 6 } of the geometric sequence:

a _{ 1 } = 4, a _{ 3 } = 36

Give a rule for the n ^{ th } term of the geometric sequence.

a _{ 3 } = 5, a _{ 6 } = 200

Find the n th term of each geometric sequence.

a _{ 1 } = , n = 10, r = 2

Find a _{ 9 } for the geometric sequence.

5, –20, 80, ...

Find a _{ 5 } of the geometric sequence:

a _{ 2 } = 48, a _{ 3 } = 36

The given sequence is geometric. Find y .

3, 12, 48, 5 y + 7, ...

Draw the graph of the geometric sequence.

a _{ n } = 2(6) ^{ n } ^{ – 1 }

Find the number of terms in the given geometric series.

1 + b + b ^{ 2 } + b ^{ 3 } +................. b ^{ 10 }

Find the sum of the given geometric series:

n = 20, r = –2, a _{ 1 } = 1

Find the sum.

11 + 11 + 11 + ... to 11 terms

Calculate the sum of the six terms of the geometric series.

4 + 12 + ..... + 972.

Find Sn , the sum of the first n terms, for the following geometric series.

a _{ 1 } = 1944, a _{ 4 } = 1, r = –1/4

Determine the sum.

Find the sum of the geometric series:

18 + 6 + 2 + ...

Obtain the sum of the infinite geometric series, if it has one.

Write the first three terms of the infinite geometric series that satisfy the condition:

a _{ 1 } = 6, S = 24

r = –1/2, S = 20

Calculate the sum of the infinite geometric series.

Find the sum of the geometric series: a _{ 1 } = 5, r = 3/5

250 + 350 + 490 + 686 +...

Calculate the fraction form for the repeating decimal 3.111111....