Question Detail

MTH 101 MTH 101 Past Questions Objective Question

Question

The sum to infinity of a geometric series is 5 and the first term is 2. What is the common ratio?
Options
A 1/2
B 3/5
Correct Answer
C 2/5
D 5/2
Correct Answer

Option B is the correct answer.

Detailed Explanation

S∞ = a/(1 - r) ⇒ 5 = 2/(1 - r) ⇒ 1 - r = 2/5 ⇒ r = 3/5.

Hint

The notes indicate answer B.

Question Info