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Question

Solve the question -4 + -1 + 2 + 5 +....+x = 437.

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Solution

Suppose x is nth term of the given A.P.
an=xHere, a=-4, d=3.It is given that, Sn=437.n22-4+n-13=4373n2-11n-874=03n2-57n+46n-874=03nn-19+46n-19=0n=-463, 19Since, n cannot be in fraction so n=19.Now, an=x-4+19-13=x-4+54=xx=50

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