1. Which of he following is greater than a12 in an = 10 – 3n?
A. -29
B. -50
C. -10
D. -3
2. What is the nth term of the sequence 4, 11,18, …? *
A. 6n + 4
B. 7n – 3
C. 7n + 5
D. 6n – 7
3. Find the nth term of 3/7, 7/12, 11/17, …? *
A. (5n-3)/(4n+5)
B. (4n-1)/(5n+2)
C. (2n+5)/(5n-4)
D. (3n+4)/(5n+1)
4. Which are the next three terms in the arithmetic sequence 1.5, -3, -7.5, -12? *
A. -11.5, -10.5, -9.5
B. -17.5, -16.5, -15.5
C. -15.5, -14.5, 13.5
D. -16.5, -21, -25.5
5. Which is NOT true about the following arithmetic sequence 25, 32, 39 46,..? *
A. the common difference is 7
B. the 7th term is 60
C. the 6th term is 60
D. the general rule is an = 7n + 18
6. What is the general or nth term of the given arithmetic sequence 7, 17, 27, 37, …? *
A. an = 10n – 3
B. an = 10n + 17
C. an = 10n – 1/7
D. an = 10n + 1/7
7. What is the 3rd arithmetic mean of -16, __, ___,___,-8? *
A -10
B. -5
C. 2
D. 6
8. What is the sum of the even integers from -18 to 52? A. 580 B. 612 C. 790 D. 680
A. 580
B. 612
C. 790
D. 680
9. Find the sum of the integers from -10 to 21. *
A. 196
B. 158
C. 212
D. 176
10. What is the sum of the terms of an arithmetic sequence with a1 = -8, n = 64, d = 4?
A. 7552
B. 9500
C. 7200
D. 12500
11. Find the sum of the first 55 multiples of 7. *
A. 12400
B. 10780
C. 15500
D. 14500
12. Which of the following is NOT a geometric sequence? *
A. 3, 6, 12, 24,...
B. 2, 6, 10, 14,...
C. 9, 27, 81,...
D. 6, 18, 54,...
13. Which numbers will make the geometric sequence 16, ___, ___, ___, 81 be complete? *
A. 25, 36, 49
B. 32, 48, 60
C. 35, 53, 68
D. 24, 36, 54
14. In a geometric sequence 6, ___, ___, ___, 96, which is not a geometric mean? *
A. 24
B. 12
C. 48
D. 36
15. What is the general term or nth term of the sequence 1/4 ,9/16 ,81/64,729/256 ,…? *
A. 9^(n-1)/4^(n+1)
B. 9^(n-1)/4^n
C. 9^n/4^(n-1)
D. 9^(n+1)/4^n
16. Which of the following geometric sequences is finite? *
A. 4, 16, 64, 256, …
B. 3, 12, 48, 192, …
C. 5, 10, 20, 40, …, 1280
D. 10, 30, 90, 270,
17. Find the sum of the first 8 terms of the geometric sequence 4 - 8 + 16 - … *
A. 268
B. -240
C. 360
D. -340
18. What is the sum of the terms of 2 + 4 + 8 + … + 10th term? *
A. 1360
B. 2046
C. 1920
D. 2440
19. Which of the following infinite geometric series has a sum? *
A. 5 + 10 + 20 + …
B. 6 – 12 + 24 - …
C. 81 + 27 + 9 + …
D. 2 + 6 + 18 +
20. Which of the following has a sum to infinity equal to 1? *
A. 48 + 24 + 12 + …
B. 80 + 20 + 5 + …
C. 1/2 + 1/4 + 1/8 + …
D. 9 + 6 + 4 + …
21. Before starting on a weight-loss program a man weighs 124 kg. He plans to lose weight at a rate of 1.5 kg a week until he reaches his recommended weight of 94 kg. If he keeps to his plan, how many weeks will it take the man to reach his target weight of 94 kg? *
A. 24
B. 40…
C. 20
D. 32 …
22. DK Manufacturing Company began production in year 2011. That year, it produced 150,000 units. Its goal was to increase production by 20,000 units each subsequent year. Determine the production in 2014. *
A. 210,000
B. 124,800
C. 250,000
D. 100,000
23. Claudia has decided to save money over a period of 10 weeks. She saves ₱100.00 in the first week, ₱200.00 in the second week, ₱400.00 in the third week, and so on, with her weekly savings forming a geometric sequence. Find the amount that she saves on the 5th week. *
A. P1200
B. P1600
C. P800
D. P2000
24. Michael, the company owner plan to save P50 in January. Suppose he saved twice the amount he saved the previous month. How much is the total savings at the end of 10 months? *
A. P64200
B. P51150
C. P720000
D. P96500
25. What is the quotient when (2x^3 + x^2 – 2x + 8) is divided by (x + 2)? *
A. 2x^2 – 3x + 4
B. 2x^2 – x + 4
C. x^2 – 3x – 4
D. x^2 +5x – 2
26. Divide (3x^3 – x^2 – 12x + 4) by (3x – 1). What is the quotient? *
A. 3x^3 – x^2 -12x + 4
B. 3x – 1
C. x^2 –4
D. 0
27. Find the remainder when (x^72 + 5x^53 + 9x^31 – 4x^20 – 6x^4 – 4) is divided by (x – 1).
A. 1
B. -1
C. 0
D. 15