the 6th term of A.P. is 5 times the fifth term and the 11th term is exceeds twice the fifth term by three.find the 8th term

2 answers

a+5d = 5(a+4d)
a+10d = 2(a+4d)+3

Now just solve for a and d, and figure

T8 = a+7d
6th term: 16,-4, 1, -1/4