Find the sum of all odd integers from 1 to 201.

To Find: The sum of all odd integers from 1 to 201.


The odd integers form the following AP series:


1,3,5….201


First term = a = 1


Common difference = d = 2


Last term = 201


Let the number of terms be n


1 + 2(n - 1) = 201


n - 1 = 100


n = 101




= 101 × 101 = 10201


The sum of all odd integers from 1 to 201 is 10201.


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