Math, asked by UnnatiAsthana, 7 months ago

in a certain A.P the 24th term is twice the 10th term. prove that the 72nd term is twice the 34th term.
please give me the answer with explanation ​

Answers

Answered by amitsnh
1

Answer:

let a be the first term and d the common difference

given

t24 = 2*t10

a+23d = 2*( a + 9d)

a + 23d = 2a + 18d

2a - a = 23d - 18d

a = 5d

now

t72/t34

= (a+71d)/(a+33d)

= (5d + 71d)/(5d + 33d). (since a= 5d)

= 76d / 38d

= 2

hence

t72 = 2* t34

proved

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