2, 10, 30, 68, 130,-----

243, 81, 27, -------

2, 7, 18, 39, 74, 127----------

(a) Draw the diagonals in each of the following polygons and record the results in the table. The first two have been done for you.

(b) Find thedifference between each pair of successive terms in the sequence for the number of diagonals.

c) Use the three differences determined in part (b) to predict the number of diagonals for the remaining polygons

.