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Question

( 51 + 52 + 53 + .................. + 100) = ?


Options:
A .  2525
B .  2975
C .  3225
D .  3775
Answer: Option D

This is an A.P. in which  a = 51,  `l` = 100 and n = 50.

`:.`   sum = `n/2`(a + `l`) = `50/2` x (51 + 100) = ( 25 x 151) = 3775




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