Answer:
see explanation
Explanation:
there is a common difference between consecutive terms in the sequence, that is
8 - 13 = 3 - 8 = - 2 - 3 = - 7 - (- 2) = - 5
this indicates the sequence is arithmetic with nth term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = 13 and d = - 5 , then
= 13 - 5(n - 1) = 13 - 5n + 5 = 18 - 5n
then
a₁₀₀ = 18 - 5(100) = 18 - 500 = - 482