# The first term of an A.P. is 5 and its 100th term is - 292. Find the 50th term of this A.P.

Given, a = 5

a100= -292

5 – 99d = -292

d = = 3

Now, 50th term, a50 = a + (50 – 1) d

= 5 + (49) 3 = 5 + 147 = 152

Hence, 50th term of given A.P. is 152

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