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Q. The sum of numbers lying between $10$ and $200$ which are divisible by $7$ will be

Sequences and Series

Solution:

We have to find the sum of numbers lying between $10$ and $200$ which are divisible by $7$
Here first number is $14 $ and last number $=196$
common difference $d=7$
$\therefore 196=14+(n-1) 7 $
$ \Rightarrow n=27$
$\therefore $ sum of numbers $=\frac{27}{2}(14+196)=2835$