Pre-Calculus G11

22. Find the complete 8th term coefficient and variables in the expansion of (x + y)11. A. 325x5 y8 B. 435x4y? C . 792 * 5 7 D. 425x5 y8 23. In the Principle of Mathematical Induction, which of the following steps is mandatory? A. Induction hypothesis C. Inductive reference B. Induction at assumption D. Minimal set of representation 24. For every natural number k, which of the following is true? A. (mk) * = mknk B. mk = n +1 C. (m + n)k = k = 1 D. mkn = mnk 25. According to PMI, if P(k + 1) = mk+1 + 5 is true, then_ must be true. A. P(k) = 3mk B. P(k) = mk +5 C. P(k) = mk+2 +5 D. P(k) = mk 26. Which of the following is the base case for 4nti > (n + 1)? where n = 2? A. 64> 9 B. 16> 2 C. 27 8 27. What is the base case for the inequality 7" > n3, where n = 3. A. 652 > 189 B. 42 27 D. 42 $ 431 28. For m = 1, 2, ... 4m + 2 is a multiple of A. 3 B. 5 C. 6 D. 2 29. For any integer m = 3, the series 2 + 4 + 6 + ... + 4m can be equivalent to A. m2+ 3 B. m + 3 C. mm D. 3m2 + 4 30. For any positive integer m_ is divisible by 4. A. 5m2+ 2 B. 3m + 1 C. m2 + 3 D. m3 + 3m