Answer:
d = 5
Step-by-step explanation:
The common difference d of an arithmetic sequence is
d = a₂ - a₁ = a₃ - a₂ = [tex]a_{n}[/tex] - [tex]a_{n-1}[/tex]
Given
[tex]a_{n}[/tex] = 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
