Math, asked by thomas1297, 1 year ago

The sum of all integers between 200 and 400 divisible by 9 is?

Answers

Answered by Sukanyayayayayayayay
17
The numbers lying between 200 and 400, which are divisible by 9 are,

207, 216, 225, .... 396.

First term, a = 207

Last term, l = 396

Common difference, d = 9


Let the number of terms of the A.P. be n.

an = 396 = a + (n - 1) d

396 = 207 + (n - 1) 9

9 (n - 1) = 189

n - 1 = 21

n = 22

Sum of 22 = 22 / 2 (207 + 396)

= 11(603)

Thus, the required sum is 6633.


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