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Question

The first term of an A.P. is 5, the common difference is 3 and the last term is 80; find the number of terms.

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Solution

Here, a = 5, d = 3, an = 80
Let the number of terms be n.
Then, we have:

an = a+n-1d80 = 5+n-1375 = n-1325 = n-126 = n

Thus, there are 26 terms in the given A.P.

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