5.4.2 Define a sequence (cn) [infinity] n=0 as follows: ( cn+1 = 49 8 cn − 225 8 cn−2, n ≥ 2, c0 = 0, c1 = 2, c2 = 16. Prove that cn = 5 n − 3 n for all n ∈ N0. Hint: you need three base cases!

When you dilate a figure with a scale factor of 1/2, what will the dilated figure look like?                                                                                           a: the dilated figure will have side lengths that are half the length of the original side lengths.                                                                          b: the angles in the dilated figure will be half the measure of the original figure.                                                                                c: the dilated figure will have side lengths twice the length of the original.