Question

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

पर्याय

• 6

• – 6

• 18

• –18

Answer 1

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

Explanation:

2x, (x + 10) and (3x + 2) are in A.P.

∴ (x + 10) – 2x = (3x + 2) – (x + 10)

⇒ –x + 10 = 2x – 8

⇒ –x – 2x = – 8 – 10

⇒ –3x = –18

⇒ x = 6