If 7 times the 7th term of an ap is equal to 11th term of an ap, then find its 18th term
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7(a₇) = a₁₁
7(a+6d)= a+10d
7a+42d = a+ 10d
7a-a = 10d - 42d
6a = -32d
a = -32d/6 = -16d / 3
a₁₈ = a+(n-1)d
= -16d/3 +(18-1)d
= (-16d /3) +17d = (-16d +51d)/3 = 35d/3
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Correction in the question :-
If seven times the 7th term of an AP is equal to eleven times the 11th term what will be its 18th term ?
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