If 7 times the 7th term of an arithmetic progression is equal to 11 times to 11 terms .what is 18 term
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18th term is 0
____________________
7th Term = a7 = (a + 6d)
11th Term = a11 = (a + 10d)
Given :-
7 times the 7th term is equal to 11 times the 11th term, 7(a7) = 11(a11)
7(a + 6d) = 11(a + 10d)
7a + 42d = 11a + 110d
7a - 11a = 110d - 42d
-4a = 68d (÷ 4)
-a = 17d
a = -17d
a + 17d = 0
{a + 17d = a18}
a18 = 0
•°• 18th term is 0.
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