Multiple choice

The number of terms in a sequence $\dfrac{1}{6},\dfrac{1}{12},\dfrac{1}{24},.....$ represents a

  1. arithmetic progression

  2. harmonic progression

  3. geometric progression

  4. arithmetic series

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The terms are 1/6, 1/12, 1/24. The ratio between consecutive terms is (1/12)/(1/6) = 1/2. Since the ratio is constant, it is a geometric progression.

AI explanation

To determine the progression, observe that each term is multiplied by 1/2 to get the next term. This constant ratio between consecutive terms is the defining property of a geometric progression. The sequence represents a geometric progression.