Question Detail

MTH 101 Geometric Progression Objective Question

Question

A GP has first term 5 and common ratio 2. Find the sum of the first 10 terms.
Options
A 5115
Correct Answer
B 5120
C 5125
D 5100
Correct Answer

Option A is the correct answer.

Detailed Explanation

S_n = a(r^n−1)/(r−1) = 5(2^10−1)/(2−1) = 5(1024−1) = 5×1023 = 5115.

Hint

Use S_n = a(r^n−1)/(r−1) for r>1.

Question Info