Answer:
see explanation
Step-by-step explanation:
The nth 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 = - 2 and d = a₂ - a₁ = 5 - (- 2) = 5 + 2 = 7 , then
[tex]a_{n}[/tex] = - 2 + 7(n - 1) = - 2 + 7n - 7 = 7n - 9
Use this formula to find a₁₀
a₁₀ = 7(10) - 9 = 70 - 9 = 61
