Question

Write the first five terms of the sequence defined by the recursive formula a
n
​
=2⋅a
n−1
​
+3 with a
1
​
=−2.
Asked by kamwilliams3

Answer 1

Compute step by step:

- a1 = −2
- a2 = 2(−2) + 3 = −4 + 3 = −1
- a3 = 2(−1) + 3 = −2 + 3 = 1
- a4 = 2(1) + 3 = 2 + 3 = 5
- a5 = 2(5) + 3 = 10 + 3 = 13

So the first five terms are: −2, −1, 1, 5, 13.