Question

Find the 31st term of ap whose 11th term is 38and 16th term is 73

Answer 1

a11 = 38                   a16 = 73
a + 10d = 38   -i        a + 15d = 73 --ii

Eq i -> a + 10d = 38
Eq ii -> a + 15d = 73
Eq(i-ii) -> -5d = -35
              => d = 7
So, a  + 10(7) = 38
    => a = 38 -70
    => a = -32

Therefore, a31 = a +30d
                         = (-32) + 30(7)
                         = -32 + 210
                         = 178 (Ans.)

Answer 2

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