Answer:
common difference d = 3
Explanation:
the nth term of an arithmetic sequence is
= a₁ + (n - 1)d
a₁ is the first term , d the common difference , n the term number
given a₁₀ = 24 and a₁₄ = 36
then we can write 2 equations and solve simultaneously
a₁ + 9d = 24 → (1)
a₁ + 13d = 36 → (2)
subtract (1) from (2) term by term to eliminate a₁
(a₁ - a₁ ) + (13d - 9d) = 36 - 24
0 + 4d = 12
4d = 12 ( divide both sides by 4 )
d = 3
then common difference d = 3