Question

An A.P. consists of 60 terms. If the first and the last terms be 7 and 125 respectively, find 32^nd term.

Answer 1

n = 60, a = 7, a₆₀ = l = 125

a₆₀ = a + 59d 

125 = 7 + 59d

d = \(\frac{118}{59}\)

d = 2

a₃₂ = a + 31d

= 7 + 31(2)

= 69

Hence, 32^th term is 69 in the given A.P.