How many terms are there in the AP 7, 11,15, …, 139?

In the given AP,


First term, a = 7


Common difference, a2 – a1 = (11 – 7) = 4


Let the no of terms be n


Nth term, an = 139


We know that, For any AP


an = a + (n – 1)d


where,


an = nth term


d = common difference


n = no of terms


using the above formula for given AP, we have


139 = 7 + (n – 1)(4)


4(n – 1) = 132


n – 1 = 33


n = 34


Hence, there are 34 terms in given AP.

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