Question

The first three terms of an AP. are 20, 16 and 12. Which term is - 96.​

Answer 1

Answer:

30th term

Step-by-step explanation:

First term = a = 20

Comm. Diff. = d = 16 - 20 = - 4

 Using, aₙ = a + (n - 1)d,  where n is the required term.

Let - 96 be the nth term,

⇒ - 96 = 20 + (n - 1)(-4)

⇒ - 96 - 20 = (n - 1)(-4)

⇒ - 116 = -4(n - 1)

⇒ 116/4 = n - 1

⇒ 29 = n - 1

⇒ 30 = n

- 96 is the 30th term of the AP