Question

The 7^th term of the an AP is -4 and its 13^th term is -16. Find the AP.

Answer 1

We have

T₇ = a + (n-1) d

⇒ a +6d = -4           ...............(1)

T₁₃ = a +(n-1) d

⇒ a + 12d = -16              .................(2) 

On solving (1) and (2), we get
a = 8 and d = - 2
Thus, first term = 8 and common difference = - 2
∴ The term of the AP are 8,6,4,2,.........