What is the sum of the following series 64 66 68 100 ........

Quantitative Aptitude ( CCS) Arithmetic progression

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What is the sum of the following series? -64, -66, -68, ..... , -100

-1458

-1558

-1568

-1664

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Explanation:

The sum of any set of numbers = Average of the numbers * number of terms
1. Step 1: Compute Average
Average of terms of an arithmetic sequence = [first term + last term/2]
Average of this sequence = [−64 −100]/ 2 = -82
2. Step 2: Compute Sum:
Sum = Average * number of terms
We have computed the no. of terms in the text book approach. Number of terms = 19.
Therefore, sum = (-82) * 19 = -1558