Use inductive reasoning to determine the next three numbers in the following sequence: 1, -3, 5, -7, 9, …

Answer 1

I am not sure how to use inductive reasoning to solve this problem, but the sequence is an alternating term sequence which suggests the terms are multiplied by (-1)^n..

Without the signs the sequence is simply (1+2n) for n≥0; to include the signs, the sequence is

(-1)ⁿ (1+2n) for n≥0.

Using this information you can get the next three terms.