Question

The value of x for which 2x, (x + 10) and (3x + 2) are the three consecutive terms of an AP is ______.

विकल्प

• 6

• –6

• –2

• 2

Answer 1

The value of x for which 2x, (x + 10) and (3x + 2) are the three consecutive terms of an AP is 6.

Explanation:

To be in A.P., the middle term must be the average of the first and third terms:

x + 10 = `(2x + (3x + 2))/2`

Simplify RHS:

x + 10 = `(5x + 2)/2`

Cross-multiply:

2(x + 10) = 5x + 2

2x + 20 = 5x + 2

Move terms:

20 − 2 = 5x − 2x

18 = 3x

x = `18/3`

x = 6