2. What is the 17^th term in the arithmetic sequence 9, 4, -1, -6, -11?

3. Identify the first 4 terms of the sequence a_n = 5 – 4n.

4. Which of the following does not show sequence?

5. Which of the following is a finite sequence?

6. Identify the general term of the sequence 5, 7, 9, 11, 13,…

7. Identify the rule that will correctly describe the sequence 2, 5, 10, 17, 26,,… .

8.  What are the next four terms in the sequence 28, 22, 16, 10,…?

9. Insert four geometric means between 45 and 120.

10.  Examine the given figures below. What is the nth term of the sequence?

11. Jack Maawatan was saving for an android phone. From his weekly allowance, he was able to

save Php 15 on the first week, Php 19 on the second week, Php 23 on the third week and soon.

If he continued saving in this pattern and made 62 deposits, how much did Jack saved?

12. Identify the common difference (d) of the problem 13, ___, ___, ___, ___, -17 .

13. Calculate the sum of the first 10 terms of the arithmetic sequence 5, 9, 13, 17,…

14. Determine the next ordered pair in the pattern (-1, 4), (3, 1), (7, -2).

15. The common ratio of the geometric sequence is  and the fourth term is . What is the third term

of the sequence?

16. Find the first three terms of a geometric sequence if the 5^th term is 1 and the common ratio is 3/2.

17. Which of the following defines infinite sequence?

18. Find the 12^th term of the geometric sequence 1, 2, 4,…

19. The operation used in obtaining the next term in the geometric sequence is_________.

20. What is the common difference in the sequence -1, - ½, 0, ½?

21. A nanny receives a starting annual salary of Php 60,000 with a yearly increase of 3,600. Calculate

her total income for 6 years.

22. Jack Ammu saved Php 12 on the first day of January, Php 16 on the second day, Php 20 on the

third day and son on up to the last day of the month. How much did Jack Ammu save at the end of January?

            a. Php 2370                 b. Php 2540                 c. Php 2232                 d. Php 2432

23. A hall has 43 rows. Each successive row contains three additional seats. If the first row has 20

seats, how many seats are there in the hall?

a. 4,345 seats               b. 3,569 seats              c. 3,789 seats               d. 3,691 seats

24. If a fifth degree polynomial is divided by a third degree polynomial, what is the degree of the

quotient?

            a. 3                              b. 2                              c. 1                              d. 4

25.  Find remainder: (3x³ – 16x² +3x + 12)   $$\div$$  (3x + 2)

26. What is the quotient when (x³ +3x² +3x + 1) is divided by (x + 3)?

            a. x² + 3                       b. x² – 2                       c. x² + 2                       d. x² – 3

27. Find the quotient when (x³ – 2x² – 11x – 20) is divided by (x-5).

28.  Which polynomial is the dividend?

29. Which polynomial is the quotient?

30. Evaluate the polynomial (x³ – 2x² + x - 3) if the value of x = 2.

31. Hanna used synthetic division to find the quotient if 5x² – 16x + 4x² – 3 is divided by (x-2). She obtained -19 as the remainder. His solution is shown below

What is the error?

            i. The sign of te divisor was not changed

            ii. The terms of the polynomial were not arranged according to decreasing powers of x

            iii. The sum entries in the third row are incorrect

            iv. The numerical coefficients of the first row were not properly written.

32. Use the remainder theorem to find P(2) in P(x) = x⁴ + 4x³ – x² – 16x – 4.

33. Find the value of k so that (x+2) is a factor of 3x³ + kx² + 5x -26.

34. Which of the following is the degree of the polynomial equation 2x⁴ – x² – 4 = 0?

35. Find the missing factor of x² – 4 = (x – 2)(________).

36. What are the factors of x² – 2x  - 24?

37. When P(x) is divided by (x – r) and the remainder is equal to zero, it means ________________.

38. Which of the following is NOT a root of (x - 1)(x - 4)(x + 2) = 0?

39. If P(x) is divided by x + 1 using synthetic division the value of c to be used will be equal to________?

40. Identify the possible roots of x³ + 2x² – 5x – 6 = 0?

            a. + 1, +2, +4, +6        b. + 1, +2, +3, +6        c. + 1, +3, +5,  +6       d. + 1, +3, +5, +8