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Mathematics, 10.12.2020 06:50 victoria6929

1. Write the 5th term of the infinite sequence whose general term is A. 5B. 10C. 15D. 20
2. What is the next term in the sequence 9, 4, -1, -6, ...
A. –7 B. –9 C. –11D. –13
3. What is the 25th term of an arithmetic sequence 3, 7, 11, 15, 19, ...?
A. 98B. 99C. 100D. 101

4. If four arithmetic means are inserted between 68 and 3, what is the fourth arithmetic mean?
A. 16B. 29C. 42D. 55

5. Find the common ratio in the geometric sequence 32, 16, 8, 4, 2, ...
A. 2B. 16C. –16D.
6. What is the 10th term of the geometric sequence 8, 4, 2, ...?
A. B. C. D.

7. Find the sum of the first 100 consecutive integers.
A. 5 000B. 5 025C. 5 050D. 5 075

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8. In an arithmetic sequence, the 3rd term is 10 and the 6th term is 19. Find the 1st term.
A. 4B. 6C. 8D. 10
9. Find the sum of the first 20 terms of the sequence 1 + 2 + 4 + 8 + ...
A. 1 048 575B. 1 084 575C. 1 408 575D. 1 480 575

10. Charlie bought a car for Php 2 000 000 and its value depreciate by 10% per year. What is the depreciated value of the car after 10 years?
A. Php 775 000B. Php 750 000C. Php 725 000D. Php 700 000

11. What is the leading coefficient of the polynomial,
A. 3 B. 5
C. 8 D. 12

12. Which of the following is NOT a root of
i. -1 ii. 0 iii. iv. 5

A. i only B. ii only
C. i and iii only D. ii and iv only

13. If P(-3) = 0 , which of the following statements is true about P(x)?

A. P(0)= -3
B. x-3 is a factor f P(x)

C. P(x)=0, has 3 positive roots
D. x+3 is a factor of P(x)

14. Find the solutions of the polynomial equation

A. -4, -3, and -2 B. -4, -3 and 2

C. -4, 3 and 2 D. 4, 3 and 2

15. Which of the following cubic polynomial equations has roots -3, -2 and 4?
A.
C.
B.

D.

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For numbers 16 to 20, refer to the problem below. (2 points each item)
Lorenz and Lois made a new box for the popcorn. They have designed a box with the width 3 cm less than the length and the height is 6 cm greater than the length. The volume of each box must be 40 cm3. What is the length of the box?
For item numbers 16 – 17: Translate the verbal phrase into mathematical phrase.
16. What is the length of the new box?
A. 5 cmB. 4cmC. 3cmD. 2cm
17. The width is 3 cm less than the length.
A. 3 – xB. x – 3C. 3xD. x + 3
18. The height is 6 cm greater than the length.
A. x + 6B. x – 6C. 6 – xD. 6x
19. What is the width of the new box?
A. 1cmB. 2cmC.3cmD. 4cm
20. What is the height of the box?
A. 1cmB. 2cmC.4cmD. 10cm

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