if 2+4+6...+n/1+3+5+...+n=37/36 find the value of n?
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Answer:
sum of n even natural numbers = n (n+1)
sum of n odd natural numbers = n^2
n (n+1)/n^2 = 37/36
n+1/n = 37/36
cross multiplication
36 (n+1) = 37n
36n+36 = 37n
37n-36n = 36
n = 36
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