Question Detail

MTH 101 Geometric Progression Objective Question

Question

The sum to infinity of a GP is 12. Its first term is 8. Find the common ratio.
Options
A 1/3
Correct Answer
B 1/2
C 2/3
D 1/4
Correct Answer

Option A is the correct answer.

Detailed Explanation

S_∞ = a/(1−r) → 12 = 8/(1−r) → 1−r = 8/12 = 2/3 → r = 1−2/3 = 1/3.

Hint

Use S_∞ = a/(1−r) for |r|<1.

Question Info