Question

7. Find the sum of first 121
even natural numbers.​

Answer 1

Answer:

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Answer 2

The Sum of the first 121 even natural numbers.​

A.P. 2,4,6,8,.....

$a=2,n=121, d=2$

Calculate $a_n$ terms of an AP,

$a_n=a+(n-1)d\\a_n=2+(121-1)2\\a_n=2+(120)2\\a_n=2+240\\a_n=242$

Sum of $n^{th}$ terms of an AP,

$S_n=\frac{n}{2}(a+a_n)$

$S_n=\frac{121}{2}(2+242)\\S_n=\frac{121}{2}(244)\\S_n={121}\times 122\\S_n=14,762$