Question

If an=5n-3 find the common difference​

Answer 1

d = 5

Explanation:

The common difference d of an arithmetic sequence is

d = a₂ - a₁ = a₃ - a₂ =
`a_(n)` -
`a_(n-1)`

Given

`a_(n)` = 5n - 3

Generate the first 2 terms of the sequence by substituting n = 1, n = 2

a₁ = 5(1) - 3 = 5 - 3 = 2

a₂ = 5(2) - 3 = 10 - 3 = 7

d = 7 - 2 = 5