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Q.
Find the sum to 200 terms of the series 2 + 5 + 7 + 6 + 12 + 7 + ....
A.
30400
B.
30200
C.
34600
D.
38400
View Answer
Correct choice: A
Explanation:
we can treat every two consecutive terms as one. So, we will have a total of 100 terms of the nature: (2 + 5) + (7 + 6) + (12 + 7).... => 7, 13, 19,.... We know the sum of n terms n(n+1)2 Now, a= 7, d=6 and n=100 Hence the sum of the given series is S= 100/2 x[2 x 7 + 99 x 6] => 50[608] => 30,400.
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