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.