Answer:
10, 35, 135, 410, 1235, ...
Explanation:
a(1) = 10
a(n) = 3 * a(n-1) + 5
This recursive sequence starts with the initial value of a(1) = 10, and each subsequent term is calculated by applying the formula a(n) = 3 * a(n-1) + 5. The resulting sequence would be:
a(1) = 10
a(2) = 3 * a(1) + 5 = 3 * 10 + 5 = 35
a(3) = 3 * a(2) + 5 = 3 * 35 + 5 = 135
a(4) = 3 * a(3) + 5 = 3 * 135 + 5 = 410
a(5) = 3 * a(4) + 5 = 3 * 410 + 5 = 1235
And so on. This recursive sequence generates the following sequence: 10, 35, 135, 410, 1235, ...