Arithmetic progression

Question

Find the value of x given that x+2,3x, 4x+6 are consecutive terms of an arithmetic sequence

Answer 1

Answer: For arithmetic progression difference d between consecutive terms is constant.

Therefore 4x+6 – 3x = 3x – (x+2)

i.e.   x + 6 = 3x – x -2 simplify

x + 6 = 2x – 2 solve foe x

2x – x = 6 + 2 implies x = 8, common difference is 14

The sequence is 10, 24, 38, 52, … and etc.

Itz, please respond when you see the solution and provide comments.