Answer:
23
Step-by-step explanation:
Note there is a constant difference between consecutive terms
- 1 - (- 4) = - 1 + 4 = 3
2 - (- 1) = 2 + 1 = 3
5 - 2 = 3
This indicates that the sequence is arithmetic with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 4 and d = 3, thus
[tex]a_{10}[/tex] = - 4 + (9 × 3) = - 4 + 27 = 23
