Q. 54.7( 12 Votes )

# Sum of ‘n’ odd number of consecutive numbers is divisible by ‘n’. Explain the reason.

Answer :

Given, sum of ‘n’ odd number of consecutive numbers is divisible by ‘n’.

Sum of n consecutive odd numbers =

= n(2n-1)

∴ it is multiple of n

Hence, sum of n consecutive odd numbers is divisible by n

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