Solve the Problem Using Inductive Reasoning $n$ Greater Than
1 $S _ { n }$

question 165

Short Answer

Solve the problem using inductive reasoning.
-Choose a value of $n$ greater than
1 . Find $S _ { n }$ and multiply it by
3 . Find $T _ { n }$ and multiply it by
2. Subtract the smaller number from the larger number. In other words calculate $3 S _ { n } - 2$ $\mathrm { T } _ { \mathrm { n } }$ . Repeat this for various values of $\mathrm { n }$ . What kind of figurate numbers do you get?