## Thinking Mathematically (6th Edition)

$\underline{Inductive\ Reasoning}$ Each result in the sequence is a 6-digit number where each position contains the same value. That value is one greater than used in the prior result. We therefore induce that the next result will be 555,555. $\underline{Check\ Computation}$ Each computation in the sequence is a product., The first factor is 32 greater than the first factor in the prior item in the sequence. Therefore the first factor in the next item in the sequence is $132+33=165$. The second factor is 3367. The next computation in the sequence is $165\times3367=555,555$ This result agrees with the result derived by inductive reasoning.