Multiple choice

Find the sum of the first 63 terms of the given series 5 – 3 + 2 – 5 + 3 – 2 + 5 – 3 + 2 –5 ...

  1. 5

  2. 4

  3. 3

  4. None of these
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B Correct answer
Explanation

The series is (5-3+2) + (-5+3-2) + (5-3+2) ... = 4 + (-4) + 4 + (-4)... The sum of every 3 terms is 4, then -4. The sum of every 6 terms is 0. 63 terms = 10 groups of 6 + 3 terms. The first 3 terms are 5-3+2 = 4.

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