Find the sum of integers which are divisible by 2 and 3 from 1 to 50.

Given, Sum of integers from 1 to 50

Need to find out the numbers which are divisible by 2 and 3.

Here, since the number should be divisible by 2 and also 3 it is enough to find the sum of integers which are divisible by 6.

∴ the sum of numbers which are divisible by 6 from 1 to 50 = 6,12,18…48

⇒ Now, Sum of integers form 1 to N =

= (6 + 12 + 18 + ….. + 48)

= 6(1 + 2 + 3 + …. + 8)

= 3(8 × 9)

= 216

Hence, the sum of integers from 1 to 50 which are divisible by 2 and 3 is 216.