Question

Insert 6 arithmetic means between 3 and 24.

Answer 1

Let t₁ = 3, t₂, t₃, t₄, t₅, t₆, t₇, t₈ = 24 be the sequence.

Then;

t₈ = 24 

⇒ a + 7d = 24 

⇒ 3 + 7d = 24

⇒ 7d = 21 ⇒ d = 3

Hence the arithmetic means between 3 and 24 are 6, 9, 12, 15, 18, 21.