Math, asked by sudheergunduboina8, 10 months ago

find the sum of the even positive numbers​

Answers

Answered by Anonymous
17

 \mathtt{ \huge{ \fbox{Solution :)}}}

We know that , the nth term of first positive even number is 2n

Thus ,

 \sf \mapsto S_{n} =   \sum_ {i = 1}^{n}2n \\  \\  \sf \mapsto  S_{n} = 2\sum_ {i = 1}^{n}n  \\  \\  \sf \mapsto  S_{n} =2 (\frac{n(n  +  1)}{2})  \\  \\ \sf \mapsto    S_{n}  = n(n  +  1)

Hence , the sum of first n positive even numbers is (n + 1)

________________ Keep Smiling

Similar questions