If 15 + x,28 – x, and 29 + x form an arithmetic sequence what is the value of x?

Question

asked Nov 20, 2022 106k views

1 Answer

Mario Boss · Answer 1 · 2022-11-26T00:27:56+0000

Answer:

3.

Explanation:

If its an AS it well have a common difference, so 3rd term - 2nd term should = 2nd term - first term:-

29 + x - (28 - x) = 28 - x - (15 + x)

2x + 1 = 13 - 2x

4x = 12

x = 3.

The sequence is

15 + 3, 28-3, 29 + 3

= 18, 25, 32

which is arithmetic with common difference 7.