Answer:
d = 2
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 5 and a₁₀ = 13, thus
a₁ + 9d = 13, that is
- 5 + 9d = 13 ( add 5 to both sides )
9d = 18 ( divide both sides by 9 )
d = 2
