1st Summative Test Grade 10 2l412t

MCA MONTESSORI SCHOOL

CLASS NUMBER

MATHEMATICS – GRADE 10 1ST SUMMATIVE TEST

SCORE

Name: _________________________________Date: ___________ Gr. & Sec.: _________________Parent’s Signature: ___________ Subject Teacher: Ms. Hanna Grace C. Honrade Direction: Read the following statement carefully. Encircle the letter of the correct answer. 1. A set of real numbers that is formed according to a certain logical order? a. sequence

b. term

c. series

d. pattern

c. series

d. pattern

2. Is the sum of of a sequence? a. sequence

b. term

3. A constant multiplied to each term of a geometric sequence to obtain the next term of the sequence. a. common difference

b. common ratio

c. finite

d. infinite

c. 24

d. 26

4. What is the next term? 0, 4, 8, 12, 16 _____? a. 20

b. 22

5. The one who proposed the Fibonacci sequence? a. Leonard fibro

b. Leon Fibonacci

c. Leonardo Fibonacci

d. nard Fibonacci

6. Find the 5th term of the sequence given the nth term 𝑎𝑛 = 2n + 1 a. 5

b. 6

c. 8

d. 11

7. Find the sum, of the geometric sequence where the first term is 3, the last term is 46 875, and the common ratio is 5? a. 58, 593

b. 58 594

c. 58 595

d. 58 596

8. Which of the following sequences is an arithmetic sequence? a. -2, 4, -8, 16

b. 2, 4, 8, 16

c. 1, 2, 3, 5, 8

d. 1, 2, 3, 4, 5,

9. 8, 16, 24, 32 is an example of what sequence? a. arithmetic sequence

b. geometric sequence

c. harmonic sequence

d. Fibonacci sequence

10. What is the 7th term of the arithmetic sequence 5, 12, 19, 28, … a. 46

b. 47

c. 48

d. 49

11. Find the sum of the first 20 of the arithmetic sequence. -2, -5, -8, -11 a. -410

b. -510

c. -610

d. -710

12. What is the next term in the Fibonacci sequence 1, 1, 2, 3, 5, 8, __? a. 13

b. 16

c. 19

d. 20

13. A sequence in which each succeeding term is obtained from the previous term by multiplying it by a fixed number called common ratio? a. harmonic sequence

b. arithmetic sequence

c. geometric sequence

d. Fibonacci sequence

14. In the arithmetic sequence, the between any two is called? a. arithmetic means

b. geometric mean

c. harmonic means

d. mean

15. What is the next term in the geometric sequence 4, -12, 36, ___? a. -42

b. -54

c. -72

d. -108

16. What is the 6th term of the geometric sequence 2/25, 2/5, 2, 10 …? a. 25

b. 250

c. 1250

d. 2500

17. A function whose domain is the infinite set { 1, 2, 3, …} a. common difference

b. common ratio

c. finite sequence

d. infinite sequence

18. Which term of the arithmetic sequence 4, 1, -2, -5, … is -29? a. 9th term

b. 10th term

c. 11th term

d. 12th term

19. A sequence such that the reciprocals of the form an arithmetic sequence. a. arithmetic sequence

b. geometric sequence

c. harmonic sequence

d. Fibonacci sequence

20. A sequence in which the difference between any two consecutive is the same? a. arithmetic sequence

b. geometric sequence

c. harmonic sequence

d. Fibonacci sequence

21. Is the sum of the of an arithmetic sequence. a. arithmetic series

b. geometric series

b. Fibonacci series

d. harmonic series

22. What is the missing term of the arithmetic sequence 5, -1, -7, ___, -19 …? a. -10

b. -11

c. -12

d. -13

23. The term between any two of a geometric sequence.? a. arithmetic mean

b. geometric mean

b. harmonic mean

d. Fibonacci mean

24. Find the common ratio of the geometric sequence 2, 4, 8, 16 a. 1

b. 2

c. 3

d.4

25. Find the common difference -18, -15, -12, -9, -6 a. 1

b. 2

c. 3

d. 4

Direction: Find the specified term of Fibonacci sequence. Express your answer to the nearest whole number. (let phi = 1.6180)

1. f (26) = _____________________

2. f (25) = _____________________

3. f (24) = _____________________

4. f (23) = _____________________

5. f (22) = _____________________

Solve for the following question (SHOW YOUR SOLUTION) (4 points each)

a. Find the four-harmonic means between ½ and 1/5 ½, ___, ___, ___, ___, 1/5

b. Find the value of x when the arithmetic mean of x + 2 and 4x + 5 is 3x +2 x + 2,

3x + 2, 4x + 5

c. Find the sum of the geometric sequence 𝑎1 = 10 r = 5 and n = 5

d. Find 𝑆28 , when 𝑎1 = 32 and d = -1

e. Solve for the given Summation: 5

∑(2𝑛2 − 1) 𝑛=2