Question

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

Answer 1

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

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)