MCQ practice · SSC General Mathematics Board questions · Chapter 13: Finite Series
If a + b + c + d + e + ... is an arithmetic series, which of the following is correct?
- i. b = (c + e)/2
- ii. c = (b + d)/2
- iii. d = (c + e)/2
Think it through first, then pick an option.
- a i and ii
- b i and iii
- c ii and iii
- d i, ii and iii
Answer and explanation
Correct answer: c ii and iii
c lies between b and d, and d between c and e: ii and iii are both true.
Why the other options are wrong
- a i and ii: i is false: the neighbours of b are a and c, so b = (a + c)/2; ii is true but iii is left out.
- b i and iii: i is false: b = (a + c)/2, not (c + e)/2; iii is true but ii is left out.
- d i, ii and iii: i is false: the neighbours of b are a and c, so all three cannot be true.
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