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Find the sum of all natural numbers betw...

Find the sum of all natural numbers between 250 and 1000 which are exactly divisible by 3.

Text Solution

Verified by Experts

The numbers between `250` and `1000`
which are divisible by `3` are `252, 255, 258,..........,999`
So,
`T_n​=999=a+(n−1)d`
`=>999=252+(n−1)3`
`=>333=84+n−1`
`=>n=333−83=250`
And,
`S_n=n/2​[a+l]`
...
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