Answer:
a₅₀ = - 137
Step-by-step explanation:
There is a common difference between consecutive terms , that is
7 - 10 = 4 - 7 = 1 - 4 = - 2 - 1 = - 3
This indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 10 and d = - 3 , then
[tex]a_{n}[/tex] = 10 - 3(n - 1) = 10 - 3n + 3 = 13 - 3n
Substitute n = 50 to obtain 50th term
a₅₀ = 13 - 3(50) = 13 - 150 = - 137
