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Question

The number of terms in an A.P. whose first term is 10, last term is 50 and the sum of all terms is 300, is ___________.

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Solution

First term of A.P is given = 10
Last term of A.P is given = 50
Sum of all terms Sn = 300 (given)
Since sum of all terms Sn=n First term+Last term2
i.e 300=n10+5022i.e 300=n602i.e 300=n30i.e n=10
Hence, number of terms of an A.P is 10.

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