Q47 of 202 Page 9

If the 5^th term of an A.P. is 31 and 25^th term is 140 more than the 5^th term, find the A.P.

a₅=31

a +4d =31 (i)

a₂₅= 140 + a₅

a + 24d= 140 + 31

31 -4d +24d=171 [ from (i) ]

20d=140

d=7

Putting the value of d in (i)

a= 31 – 4(7) = 3

a₁ = a=3

a₂ =a +d=3 +7=10

a₃ =a +2d=3 + 2(7) =17

Hence, the A.P. is 3, 10, 17,…

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If the 5th term of an A.P. is 31 and 25th term is 140 more than the 5th term, find the A.P.