Question

Determine the AP whos 5th term is 15 and the sum of the 3rd term and the 8th term is 34

Answer 1

A5= a + 4d
a +4d = 15
2a + 8d = 30.......1
A3 + A8 = 34
a +2d + a + 4d = 34.
2a + 6d = 34.......2

Solving equations 1 & 2 ,
d = -2 & a = 23

AP ---------> 23,21,19,17,15,.....