___1.
Find the nth term of the arithmetic sequence given the following conditions: 𝑎1=2, d=
3, n=9
a. 26 b. 27 c. 28 d. 29
___2. Which term of the arithmetic sequence 2, 6, 10,….. is 102?
a. 20th term b. 26th term c. 30th term d.
35th term
___3. Find the 21st term of the arithmetic sequence 6, 9, 12, 15,…
a. 61 b. 60 c. 62 d. 6
___4. If three arithmetic means are inserted between 8 and 16, find the second arithmetic
mean.
a. 10 b. 12 c. 14 d. 16
___5. 7. Which term of the arithmetic sequence 3, 7 3 , 5 3 , …, … is -27?
a. 9th term b. 20th term c. 41th term d. 46th
term
___6. What is the arithmetic mean between 10 and 24?
a. 18.5 b. 19 c. 16 d. 17
___7. Insert 2 arithmetic means between 3 and 30.
a. 12, 14 b. 12, 11 c. 12, 21 d. 12, 30
___8. Find the sum of the first ten terms of the arithmetic sequence 4, 10, 16, 22, 28, …
a. 310 b 430 c. 410 d. 390
___9. Find the sum of the first 25 terms of the arithmetic sequence 17, 22, 27,32, …
a. 1925 b. 1195 c. 1655 d. 1895
___10. The sum of the first 10 terms of an arithmetic sequence is 530. What is the first
term if a10 is 80?
a. 40 b 36 c. 30 d. 26
___11. Which of the following shows a pattern?
a. 3, 2, 3, 2, 3, 2 b. A, G, M, T, 0, 9 c. 5, 7, 2, T, 6, Y d. smooth, long, wall,
sing
___12. Which of the following defines infinite sequence?
a. days of the week b. every other day c. teenage life d. first
Fridays of July 2020
___13. What are the next three terms of the sequence 1, 11, 22, 34, . . ..?
a. 46, 60, 75 b. 47, 61, 76 c. 42, 54, 66 d.
44, 60, 74
___14. Which of the following is a correct description of an arithmetic sequence?
a. A term is obtained by multiplying a constant number from the preceding term.
b. A term is obtained by squaring the preceding term.
c. A term is obtained by adding a constant number to the preceding term.
d. A term is obtained by extracting the square root of the preceding term.
___15. Which of the following is the common difference of the arithmetic sequence 4,
7, 10, 13, …?
a. 0 b. 1 c. 2 d. 3
___16. What is the common difference in the sequence: -4, 3, 10, 17, …?
a. 1 b. -7 c. 7 d. -1
___17. Which of the following is the missing term of the arithmetic sequence -1, -7,
_____, -19, -25, …?
a. -10 b. -11 c. -12 d. -13
___18. Which of the following is the common difference of the arithmetic sequence 3a -
1, 3a, 3a + 1, … ?
a. -a b. a c. -1 d. 1
___19. Which of the following is the first positive term of the arithmetic sequence -8, -
6, -4, …?
a. 0 b.2 c.4 d. 6
___20. Which term of the arithmetic sequence 7, 10, 13, 16, . . . is 304?
a. 99th term b. 100th term c. 111th term d.
102th term
___21. The third term of an arithmetic sequence is −12 and the seventh term is 8. What
is S10?
a. 5 b. 8 c. 11 d. 15
___22. The sum of the first 15 terms of an arithmetic sequence is 765. If the first term
is 23, what is the common difference?
a. 2 b. 4 c. 6 d. 8
___23. What operation is used in obtaining the succeeding terms in an arithmetic
sequence?
a. Addition b. Division c. Multiplication d. Subtraction
___24. Which of the following terms is closely related to a geometric sequence?
a. Common Ratio b. Both A & B c. Common Difference d. None
of these.
___25. Which of the following sequences is arithmetic?
a. 12, −12, −12, −12, … c. 12, 25 2 , 13, 27 2 , …
b. 32, 8, 2, 1 2 , … d. 1, 2, 3, 5, 8, …
___26. What is the common difference in the sequence −1, − 1/2 , 0, 1/2 , 1, …?
a.−1 b. 0 c. – 1/2 D d. 1/2
___27. Given the geometric sequence where the first term a=2 and the common ratio
r=5, what is the 3rd term of the sequence?
a. 10 b. 50 c. 250 d. 125
___28. For the geometric sequence 3,−6,12,−24,…, what is the 5th term?
a. 48 b. -48 c. 24 d. -24
___29. A geometric sequence has its first term as 10 and the 4th term as 80. What is
the common ratio r, and what is the 5th term?
a. r=2, 5th term = 160 b. r=2, 5th term = 320 c. r=4, 5th term = 320
d. r=4, 5th term = 8
___30. For the geometric sequence 3,12,48, … , what is S7?
a. 3,072 b. 6,144 c. 12,288 d. 24,576
___31. In the geometric sequence 2,6,18,…, what is S6?
a. 2,916 b. 1,458 c. 486 d. 972
___32. Given the first term a1=2 and common ratio r=−4, what is S8 of the sequence?
a. -2,097,152 b. 2,097,152 c. -1,048,576 d.
1,048,576
___33. Which of the following is the geometric mean between 3 and 27.
a. 6 b. 7 c. 9 d. 12
___34. Find two geometric means between 2 and 250. Which of the following sets is
correct?
a. 4,16 b. 6,36 c. 10,50 d. 12,60
For item 35 to 37, use the following synthetic division:
___35. Which polynomial is the quotient?
a. x3 − 6x2 + 2x + 21 b. x3 − 3x2 − 7x c. x4 − 6x3 + 2x2 + 21x d. x2 − 3x − 7
___36. Which polynomial is the dividend?
a. x − 6x2 + 2x + 21
3
b. x3 − 3x2 − 7x c. x4 − 6x3 + 2x2 + 21x d. x2 − 3x − 7
___37. Find the quotient when (x + 2x − 19x − 20) is divided by (x + 5).
3 2
a. x + 3x + 4
2
b. x2 + 3x − 4 c. x2 − 3x + 4 d.
x − 3x − 4
2
For item 38 to 40, use the illustration of long division below:
___38. Which is the divisor?
a. 2x2 + 9x + 17 b. 2x3 + 3x 2 − 10x + 12 c. x – 3 d. 63
___39. Which is the quotient?
a. 2x 2 + 9x + 17 b. 2x 3 + 3x 2 − 10x + 12 b. x – 3 d. 63
___40. Find the remainder when x − 2x + 4x − 3 is divided by x + 2 .
3 2
a. 27 b. 5 c. −5 d. −27
