Question

If the numbers n - 2, 4n - 1 and 5n + 2 are in AP, then the value of n is ______.

Options

• 1

• 2

• -1

• -2

Answer 1

If the numbers n - 2, 4n - 1 and 5n + 2 are in AP, then the value of n is 1.

Explanation:-

Let

a = n - 2

b = 4n - 1

c = 5n + 2

Since the terms are in A.P,

Therefore,

2b = a + c

⇒ 2 (4n - 1) = n - 2 + 5n + 2

⇒ 8n - 2 = 6n

⇒ 2n = 2

⇒ n = 1