Multiple choice

Given the following sequence, determine whether it is arithmetic progression or not. If it is an Arithmetic Progression, its general term. -5, 2, 9, 16, 23, 30, .......... is

  1. $7n-12$
  2. $6n-12$
  3. $5n-12$
  4. $4n-12$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The sequence -5, 2, 9, 16, 23, 30 has a common difference of 7. The general term for an AP is a + (n-1)d. Here, -5 + (n-1)7 = -5 + 7n - 7 = 7n - 12.

AI explanation

The sequence is an arithmetic progression because it has a constant common difference of 7, found by subtracting any term from its succeeding term (like 9 minus 2). The formula for the general term of an arithmetic progression is a + (n - 1)d. Substituting the first term a = -5 and common difference d = 7 gives -5 + (n - 1)*7, which simplifies to 7n - 12.

Keep practicing — related questions