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5 times the 5th term is 8 times the 8th term find its 12th term
5th term of AP = a+4d 8th term of AP = a+7d 5* (a+4d) = 8 * (a+7d) 5a + 20d = 8a + 56d -3a = 36d d = -a/12 12th term = a+ 11d ==> a + 11* -a / 12 ==> ( 12a - 11a )/ 12 ==> a/12 therfore the 12th term is a/12
5th term of AP = a+4d
8th term of AP = a+7d
5* (a+4d) = 8 * (a+7d)
5a + 20d = 8a + 56d
-3a = 36d
d = -a/12
12th term = a+ 11d
==> a + 11* -a / 12
==> ( 12a - 11a )/ 12
==> a/12
therfore the 12th term is a/12
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