Question

find the common difference of an AP whose n term is5n-5

Answer 1

Given that nth term of an AP is 5n-5

So an = 5n-5             ...(1)

Put n=1 in (1), we get

a₁ = 5(1)-5 = 0

Put n=2 in (1), we get

a₂=5(2)-5 = 10-5 = 5

Since common difference of an AP is d = a₂ - a₁ = 5-0 = 5

Hence common difference is 5.