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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.



Answer -

The first term of anA.P. (a) = 5
and common difference (d) = 3
Last term = 80
Let the last term be nth
an = a + (n – 1) d
=> 80 = 5 + (n – 1) x 3
=> 80= 5 + 3n – 3
=> 3n = 80 – 5 + 3 = 78
=> n = 26
Number of terms = 26

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