Question

Find the sum of all natural numbers between 150 and 200 which are divisible by 7.​

Answer 1

Step-by-step explanation:

Answer :

The sum is 1225

Solution :

The numbers from 150 to 200 divisible by 7 are 154,161 ,168,…., 196

Here, `a= 154, d= 7 ` and `t_(n) = 196`

`t_(n) = a+ ( n -1)d` …(Formula )

`:. 196 = 154 + ( n-1) xx 7 ` …(Substituting the values )

`:. 196 - 154 = ( n-1) xx 7`

` :. ( 42)/(7) = n-1` `:. n -1 = 6` `:. n = 7`

Now, we find the sum of 7 numbers.

`S_(n) = (n)/(2) [t_(1) + t_(n)]` ...(Formula )

`= ( 7)/(2) [ 154 + 196)`

`= ( 7)/(2) xx 350`

` = 7 xx 175 `

`= 1225`

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Answer 2

Answer:

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