Question

What is the sum of two arithmetic means between 6 and 2

pls show solutions guys!!​

Answer 1

• 8

Explanation:

Let the numbers are:

• 6, x, y, 2

Since the sequence is arithmetic, the difference of two consecutive terms is same:

• d = x - 6 = y - x = 2 - y

Therefore:

• x = 6 + d
• y = 6 + 2d
• 2 = 6 + 3d

The sum of the first two equations:

• x + y = 6 + d + 6 + 2d = 6 + (6 + 3d)

Substitute (6 + 3d) with 2 (the third equation) to get:

• x + y = 6 + 2 = 8