1.

The sum S of n successive odd numbers starting from 3 is given by the relation: S = n(n + 2). Determine n, if the sun is 168.

Answer»

From the given information, we have:

n (n + 2) = 168

n2 + 2n − 168 = 0

n2 + 14n − 12n − 168 = 0

n(n + 14) − 12(n + 14) = 0

(n + 14) (n − 12) = 0

n = −14, 12

But, n cannot be negative.

Therefore, n = 12.



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