Common Ratio

Problem
The first three terms of a geometric progression are 2x, 4x + 14 and 20x - 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 4th term of a geometric progression is 6 and the 10th 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
 

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