the mean of first n odd natural numbers is n2/81,then n=

Sum = 1 + 3 + 5 + 7 + ............ 2n - 1

This forms an AP with first term = 1, common difference = 2

Sum of first n terms of the AP = n/2[2x1 + (n-1)x2]

Sum = n/2[2 + 2n - 2] = n2

Sum of first n natural odd numbers is n2

Mean of first n odd natural numbers = n2/n = n

n = n2 /81

n = 81

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This is different type of drainage system

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the mean of first n odd number is n^2/81 THEN ,N?
 
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