in an ap is 6 times the 6th term is equal to 11 times the 11th term find its 17th term
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6th term = f + 5d
11th term = f + 10d
6 (f+5d) = 11 (f+10d)
6f + 30d = 11f + 110d
6f = 11f + 110d - 30d
6f = 11f + 80d
6f - 11f = 80d
-5f = 80d
5f = -80d
f = -80d/5
f = -16d
17th term = f + 16d
= -16d + 16d
= 0
17th term of this ap is 0
Hope this will help....
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