In integers from 1 to 100, find sum total of such numbers as when it is divided by 3, remainder is 2?
Answer
1650
Solution
2, 5, 8, 11, ------ are numbers when they are divided by 3, remainder is 2.
The last number is 98.
According to 2 + 3 × 32 = 98, there are 33 numbers until 100.
Therefor the sum total of those numbers is (2 + 98) × 33 / 2 = 1650.
