Question

If a₁, a₂, a₃,......, a_n,...... is an A.P. such that a₁₈ – a₁₄ = 32, then its common difference is ______.

Answer 1

If a₁, a₂, a₃,......, a_n,...... is an A.P. such that a₁₈ – a₁₄ = 32, then its common difference is 8.

Explanation:

Let the common difference be d.

a_n = a + (n – 1)d,

So a₁₈ – a₁₄ = [a + 17d] − [a + 13d]

= 4d 

= 32 

⇒ d = `32/4`

⇒ d = 8