Math, asked by sharmarajesh12rs15, 10 months ago

Find the sum of all even numbers between 1 to 150

Answers

Answered by Anonymous
13
HEYA !!!

Series = 2,4,6,.........150

According to A.P.

a = 2
d = 2
a n = 150

a n = a + ( n - 1 ) d

150 = 2 + (n - 1 ) 2

150 = 2 + 2n - 2

150 = 2n

n = 150 / 2

n = 75

SUM ;

Sn = n / 2 { 2a + ( n - 1 ) d }

= 75/2 { 4 + 148 }

= 75/2 {152}

= 5700


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