# Common Ratio

**Problem**

The first three terms of a geometric progression are 2*x*, 4*x* + 14 and 20*x* - 14. Find the sum of the first ten terms.

A. 413,633 | C. 489,335 |

B. 498,533 | D. 431,336 |

## Numbers 4, 2, 5, and 18 are Added Respectively to the First Four Terms of AP, Forming Into a GP

**Problem**

If 4, 2, 5, and 18 are added respectively to the first four terms of an arithmetic progression, the resulting series is a geometric progression. What is the common difference of the arithmetic progression?

## Geometric progression with some given terms

**Situation**

The 4^{th} term of a geometric progression is 6 and the 10^{th} term is 384.

Part 1: What is the common ratio of the G.P.?

A. 1.5

B. 3

C. 2.5

D. 2

Part 2: What is the first term?

A. 0.75

B. 1.5

C. 3

D. 0.5

Part 3: What is the seventh term?

A. 24

B. 32

C. 48

D. 96