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Question

Find the sum of the terms of the finite AP :
1, 3, 5, 7,…,199


A

20000

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B

13333

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C

12000

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D

10000

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Solution

The correct option is D

10000


Given,a=1,d=2
an=l=199
a+(n1)d=199
1+(n1)2=199
1+2n2=199
2n=200
n=100

Sum of n terms: Sn=n2(a+l)
So, sum of the terms of the given AP = S100=1002(1+199)
=10000


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