find the sum of 2 4 6 --72?

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lupresh

2 Aug, 2022

Clifford University

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Tifepraise
3 years ago

Given 2+4+6……+72
= 72/2
= 36
=2(1+2+3+…….+36)

Sum of n natural numbers is n(n+1)/2.

Soo,2(1+2+3…+36)

=2(36(36+1))/2
=2 ( 36 × 37 ) ÷ 2
= (72 × 37) ÷ 2
= 2664 / 2
=1332
Hence,sum of given series is 1332

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