Answer the following Part A to Part B.

B. Problem Solving with Patterns 1. Use the difference table to predict the next term in the sequence 2, 6, 12, 20, 30, _. 2. What is the nth-term formula forthe sequence given in number 1? 0. Problem Solving Strategies Solve the following using any ofthe Polya's strategy: 1. A true-false quiz contains ve questions. In how many ways can a student answer the questions if the student answers two of the questions "false" and the other three with \"true\"! 2. If each of the 20 students discuss their GE 104 lessons with one another in the social media, using their personal account. once every week, how many discussion events will take place during a week? 3. Determine the units digit of 31\"? (Hint: The units digit is the ones digit or the last digit.) 4. Andrei picks a number. He doublesthe number, squares the result. divides the square by 3, subtracts 30 from the quotient, and gets 18. What are the possible numbers that Andrei could have picked? 5. The following is a cryptarithm. S E N D + M O R E M O N E Y Each letter in the cryptarithm represents one of the digits 0 through 9. The leading digits, represented by S and M, are not zero. Determine which digit is represented by each of the letters so that the addition is correct. A letter that is used more than once, such as M, represents the same digit in each position in which it appears