MCQ practice · SSC Higher Mathematics Board questions · Chapter 7: Infinite Series
If x = 1, what is the sum to infinity of the series?
Think it through first, then pick an option.
- a 1/3
- b 1/2
- c 3/2
- d 2
Answer and explanation
Correct answer: b 1/2
For x = 1, a = r = 1/3; S∞ = (1/3)/(2/3) = 1/2, which matches 1/(2x).
Why the other options are wrong
- a 1/3: 1/3 is the first term; S∞ = (1/3)/(1 − 1/3).
- c 3/2: 3/2 is 1/(1 − 1/3), taking a = 1; here a = 1/3.
- d 2: 2 is the reciprocal of the right value 1/2.
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