# Worksheet: Infinite Geometric Series

In this worksheet, we will practice determining whether a geometric series is convergent and finding its limit.

**Q1: **

Can the sum of an infinite geometric series with common ratio be found when ?

- Ano
- Byes

**Q7: **

Find the infinite geometric sequence given each term of the sequence is twice the sum of the terms that follow it and the first term is 37.

- A
- B
- C
- D
- E

**Q9: **

Find the sum of the infinite geometric sequence .

- A
- B
- C
- D
- E

**Q11: **

Find the infinite geometric sequence given the first term is and the sum of the terms is .

- A
- B
- C
- D

**Q12: **

Find the two geometric sequences given and . Then find the sum of an infinite number of terms for the one sequence which can be summed up to infinity.

- A, ,
- B, ,
- C, , 16
- D, ,
- E, ,

**Q13: **

Find a geometric sequence given the second term equals and the sum of the first three terms equals .

- A or
- B or
- C or
- D or

**Q14: **

Find the infinite geometric sequence given each term of the sequence is half the sum of the terms that follow it and the sum of the second and fourth terms equals .

- A
- B
- C
- D

**Q15: **

Find the sum of the infinite geometric sequence .

- A
- B
- C
- D
- E

**Q21: **

Is the infinite geometric series convergent?

- Ayes
- Bno

**Q25: **

Expand .

- A
- B
- C
- D