Multiple choice

If a + 1, 3a, 4a + 2 are in AP, then the value of a is

  1. 3

  2. 2

  3. 1

  4. 0
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

a + 1, 3a, 4a + 2 are in AP. If a, b, c are in AP, then 2b = a + c. Therefore, 2(3a) = a + 1 + 4a + 2 6a = 5a + 3 6a – 5a = 3 a = 3

AI explanation

In an arithmetic progression (AP), the difference between consecutive terms is constant, so 3a − (a+1) = (4a+2) − 3a. Simplifying gives 2a − 1 = a + 2, so a = 3. Substituting back confirms the three terms 4, 9, 14 do indeed have a common difference of 5.

Keep practicing — related questions