The sum of all natural numbers from 200 to 300, which are divisible by 6 is:

The arithmetic series is 204, 210, 216, ….., 294

First term, a = 204

difference, D = 210 – 204 = 6

Last term, an = 294

By the formula of nth term of Arithmetic progression, we have;

an = 294

a+(n−1)d=294

204+(n−1)6=294

204+6n−6=294

198+6n=294

6n=294−198=96

Therefore, n=16

Thus, there are 16 terms in A.P., which we need to add.

Sn = n/2 [a + an]

S16 = 16/2 [204 + 294]

= 8 [498]

= 3984

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