Question

the value of k will the consecutive terms 2k +1 , 3k+3 , 3k-1 f

Answer 1

Hello!

∵ 2k + 1, 3k + 3, 3k - 1 are consecutive terms.
∴ d₁ = d₂

Then,

3k + 3 - (2k + 1) = 3k - 1 - (3k + 3)

⇒ 3k + 3 - 2k - 1 = 3k - 1 - 3k - 3

⇒ k + 2 = - 4

⇒ k = - 4 - 2 ⇒ k = - 6

Cheers!