in a certain A.P the 24th term is twice the 10th term . prove that the 72nd term is twice the 30th term
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in a certain A.P the 24th term is twice the 10th term . prove that the 72nd term is twice the 30th term
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given a24=2(a10)
a+23d=2(a+9d)
a+23d=2a+18d
a-5d=0 ⇒a=5d ---1
taking the eq that needed to be proved
a72=2(a34)
a+71d=2(a+33d) ---2
from 1 substituting it in 2
then
5d+71d=2(5d+33d)
76d=2(38d) ⇒ 76d=76d
hence proved
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