Question

Find the nth term of the sequence -2,6,14,22...

Answer 1

Answer:

$\boxed{a_{n} = 2(4n - 5)}$

Step-by-step explanation:

Given :

⇒ a = -2

⇒ d = 14 - 6 = 8

Formula for nth term :

$\boxed {a_{n} = a + (n-1)d}$

Solving :

⇒ aₙ = -2 + (n - 1)(8)

⇒ aₙ = -2 + 8n - 8

⇒ aₙ = 8n - 10

⇒ aₙ = 2(4n - 5)