In a certain A.P. the 24 t h term is ...

In a certain A.P. the `24 t h` term is twice the `10 t h` term. Prove that the `72 n d` term is twice the `34 t h` term.

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`T24=a+(24-1)d=a+23d`
`T10=a+(10-1)d=a+9d`
`T24=2T10`
`a+23d=2(a+9d)`
`a+23d=2a+18d`
`a=5d`
`T72=a+(72-1)d`
`=a+71d=5d+71d`
...

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