Question

The 24th term of an ap is twice its tenth term show that its 72th term is 4 times its 15th term

Answer 1

Bro,

a - first term
d - common difference

T24 = 2(T10)
a + 23d = 2a + 18d
a = 5d

Here remember that this is relation is followed throughout the AP.
So, T72 = 4(T15)
a + 71d = 4a + 56d
3a = 15d
a = 5d

Hence Proved..

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