Question

find the sum of the even positive numbers​

Answer 1

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

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)

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