if 5 times the 5th term of an AP is equal to 8 times of the 8th term ghen show that 13th term is 0
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13 th term =0
We know,
5th term = a+4d
8th term = a+7d
So, 5(a+4d)=8(a+7d)
5a+20d=8a+56d
8a-5a + 56d-20d=0
3a+36d=0
3(a+12d)=0
a+12d=0
Therefore, 13th term =0
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