7. For each of these sequences given in closed form, write out the first five (or more if necessary) terms of the sequence. Use your answer to discover a recursive for- mula for the sequence. (g) an = 22n-1 1 = 9. For each of these sequences given recursively, write out the first five (or more if necessary) terms of the se- quence. Use the idea developed in Example 8 to dis- cover a closed formula for each sequence. (a) a1 = 5; an = An-1 + (n +4) 1. Solve each of these logic puzzles by using truth tables. (a) You come across two inhabitants of Smullyan's Is- land. A says, We are both telling the truth, and B says, A is lying. Who if anyone is telling the truth