1.

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

Answer» In the given AP, we have a = 7 and d = (11-7) = 4.
Suppose there are n terms in the given AP. Then,
`T_(n) = 139 rArr a + (n-1)d = 139`
`rArr 7 + (n-1) xx 4 = 139`
`rArr 4n = 136 rArr n = 34`
Hence, there are 34 terms in the given AP.


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