Geometric Series - Ambitious

Question 1: Which of the following are geometric series?

A

- \frac{1}{2}, \frac{1}{2}, - \frac{3}{2} ...

B

4, 8, 12...

C

3, 6, 10...

D

4, 8, 16...

Question 2: Which of the following are geometric series?

A

9, - 3, 1...

B

\frac{1}{2}, \frac{1}{4}, - \frac{1}{9}

.

C

2, - 4, - 9...

D

1.5, 1, 0.5...

Question 3: Find a common ratio in the following geometric series:

5, 15, 45...

A

r = \frac{1}{3}

B

r = 3

C

r = 5

D

r = - 3

Question 4: Find the

14

th term in the following geometric series:

12, 6, 3...

A

a_{14} \approx 0.00146

B

a_{14} \approx 0.15

C

a_{14} \approx 0.0172

D

a_{14} \approx 0.0031

Question 5: Find the sum of the first

5

terms in the following series:

3 \frac{1}{2}, 7, 14, ...

A

S_{5} = 98

B

S_{5} = 108.5

C

S_{5} = 98.5

D

S_{5} = 102.5

Test: Geometric Series - Ambitious