Question

Find the aum of multiples if 3 between 200 and 900 plzzzzzz

Answer 1

Hi Mate !!


Here is your answer :


Question : Find the sum of all multiples of 3 between 200 and 900.


Let a be the first term and d be the common difference of an AP.


Number which are multiples of 3 between 200 and 900 are : 201 , 204 , 207 , ........ , 900.



Here ,

First term ( a ) = 201


Common difference ( d ) = 204 - 201 = 3.



Last term ( Tn ) = 900


a + ( n- 1 ) * d = 900


201 + ( n - 1 ) * 3 = 900


201 + 3n - 3 =900



3n + 198 = 900


3n = 900 - 198


3n = 702

n = 702 / 3

n = 234.



Number of terms = 234.

Therefore,

Sn = n/2 × [ First term + Last term ]


S234 = 234/2 ( 201 + 900 )


=> 117 × ( 1101 )


=> 128817 [ Answer ]


Hence,

Sum of numbers which are multiples of 4 between 200 and 900 is 128817.

Hope it helps you ♥


By rishi403.

BeBrainly..

Answer 2

heyy

hope it's useful

thank me