If the numbers n - 3, 4n - 2, 5n + 1 are in AP, what is the value of n?

  1. 1
  2. 2
  3. 3
  4. 4

Answer (Detailed Solution Below)

Option 1 : 1
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Detailed Solution

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Concept:

If a, b, c are in A.P then 2b = a + c

Calculation:

Given:

n - 3, 4n - 2, 5n + 1 are in AP

Therefore, 2 × (4n - 2) = (n - 3) + (5n + 1)

⇒ 8n - 4 = 6n - 2

⇒ 2n = 2

∴ n = 1

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