4. Consider the following figures (four of them): How le world is shearenivenlie onthem (a) Consider the number of small hexagons in each figure (there are 4 figures above). Create a table, with index values and term values, and predict the number of small hexagons in the fifth figure (you DO NOT need to draw this). (b) Find a recursive formula for the progression of numbers in your table. Make sure that your definition is COMPLETE. (c) Find an nth-term formula for the numbers. This is challenging! Show all work to receive credit. 5. Given the following terms of a sequence, find and state both the nth term definition and the recursive definition. Show all work, make sure your definitions are complete, and state your answer in terms of n (not n-1) for the nth term. 3 1 - 3 3 '3' 9 '9' 6. Given the following terms of a sequence, find and state both the nth term definition and the recursive definition. Show all work, make sure your definitions are complete, and state your answer in terms of n (not n-1) for the nth term. 2, 8, 18, 32, 50, 72