MCQ practice · SSC General Mathematics Board questions · Chapter 13: Finite Series
What is the 8th term of the series 64 + 32 + 16 + 8 + ...?
Think it through first, then pick an option.
- a 1/4
- b 1/2
- c 2
- d 4
Answer and explanation
Correct answer: b 1/2
a = 64, r = 1/2; 64 × (1/2)⁷ = 64/128 = 1/2.
Why the other options are wrong
- a 1/4: This is the 9th term; the 8th has the power 7. The working is: a = 64, r = 1/2; 64 × (1/2)⁷ = 64/128 = 1/2.
- c 2: This is the 6th term. The working is: a = 64, r = 1/2; 64 × (1/2)⁷ = 64/128 = 1/2.
- d 4: This is the 5th term. The working is: a = 64, r = 1/2; 64 × (1/2)⁷ = 64/128 = 1/2.
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