Question

A. Use inductive reasoning to predict the next line in this sequence of computations. Then use a calculator or perform the arithmetic by hand to determine whether your conjecture is correct.B.Make a conjecture by predicting the correct numbers in the line below.

Answer 1

Answer: Following the pattern, the prediction for the next numbers is as follows:

`\begin{gathered} 9*9+7=88 \\ 98*9+6=888 \\ 987*9+5=888,8 \\ 9876*9+4=888,88 \\ 98765*9+3=888,888 \end{gathered}`

Confirmation by calculator use:

`\begin{gathered} 98,765*9+3=888,888 \\ 888,885+3=888,888 \end{gathered}`

Therefore the predicted numbers are the correct one.