Sequence And Series Question 288

Question: The first term of an A.P. is 2 and common difference is 4. The sum of its 40 terms will be

[MNR 1978; MP PET 2002]

Options:

A) 3200

B) 1600

C) 200

D) 2800

Show Answer

Answer:

Correct Answer: A

Solution:

First term $ a=2 $ and common difference $ d=4 $ and $ n=40 $ . Then $ S_{n}=\frac{n}{2}[2a+(n-1)d] $ $ =20[4+39\times 4]=20[4+156] $ $ =160\times 20=3200 $ .



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