2. Make a conjecture as to what will happen with the fourth powers and the fifth powers. Next, try to make a conjectu about the differences and the resulting constant for the sequence of &th powers of n* where & is a positive integer. Exploration can be done by hand, or with a calculator, or in a spreadsheet program such as Excel.] 3. If you are given a sequence of k.th " powers an", is there a way to figure out the value of the coefficient a