If 24th term of an a.p is twice the 10th term prove that 72th term is twice the 34th term
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Step-by-step explanation:
T24=2×T10
a+23d=2(a+9d)
a+23d=2a+18d
a=5d. (1)
T34=a+33d
T34=5d+33d. (1)
T34=38d
2×T34=2×38d
2×T34= 76d
2×T34=5d+71d
2×T34=a+71d. (1)
2×T34= T72
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