20 Questions

Questions and Answers

- 1.What is the sum of all the odd integers between 8 and 26?
- A.
153

- B.
151

- C.
149

- D.
148

- 2.What is the next term in the geometric sequence 4, -12, 36?
- A.
-42

- B.
-54

- C.
-72

- D.
-108

- 3.If three arithmetic means are inserted between 11 and 39,find the second arithmetic.
- A.
18

- B.
25

- C.
32

- D.
46

- 4.
- A.
64

- B.
32

- C.
16

- D.
4

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

- B.
10th term

- C.
11th term

- D.
12th term

- 6.The first term of an arithmetic sequence is 2 while the 18
^{th}term is 87. Find the common difference of the sequence.- A.
7

- B.
6

- C.
5

- D.
3

- 7.What is the next term in the Fibonacci sequence 1,1,2,3,5,8…?
- A.
13

- B.
16

- C.
19

- D.
20

- 8.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

- 9.Find the eighth term of the geometric sequence where the third term is 27 and the common ratio is 3.
- A.
2187

- B.
6561

- C.
19 683

- D.
59 049

- 10.Which of the following is the sum of all the multiples of 3 from 15 to 49?
- A.
315

- B.
360

- C.
378

- D.
396

- 11.What is the nth term of the arithmetic sequence 7, 9, 11, 13, 15, 17,…?
- A.
3n + 4

- B.
4n + 3

- C.
N + 2

- D.
2n + 5

- 12.Find p so that the numbers 7p + 2, 5p + 12, 2p – 1,… form an arithmetic sequence.
- A.
-8

- B.
-5

- C.
-13

- D.
-23

- 13.Find k so that the numbers 2k + 1, 3k + 4 and 7k + 6 form a geometric sequence.
- A.
2; -1

- B.
-2; 1

- C.
2;1

- D.
-2;-1

- 14.Glenn bought a car for Php 600, 000. The yearly depreciation of his car is 10 % of its value at the start of the year. What is its value after 4 years?
- A.
Php 437, 400

- B.
Php 438, 000

- C.
Php 393, 660

- D.
Php 378, 000

- 15.During a free-fall, a skydiver jumps 16 feet, 48 feet, and 80 feet on the first, second, and third fall, respectively. If he continues to jump at this rate, how many feet will he have jumped during the tenth fall?
- A.
304

- B.
336

- C.
314 928

- D.
944 784

- 16.Twelve day before Valentine's Day, Carl decided to give Nicole flowers according to the Fibonnaci sequence. On the first day, he sent one red rose, on the second day, two red roses, and so on. How many roses did Nicole receive during the tenth day?
- A.
10

- B.
55

- C.
89

- D.
144

- 17.A new square is formed by joining the midpoints of the consecutive sides of a square 8 inches on a side. If the process is continued until there are already six squares, find the sum of the areas of all squares in square inches.
- A.
96

- B.
112

- C.
124

- D.
126

- 18.In President Sergio Osmena High School, suspension of classes is announced through text brigade. One stormy day, the principal announces the suspension of classes to two teachers, each of whom sends this message to two other teachers, and so on. Suppose that text messages were sent in five rounds, counting the principal's text message as the first, how many text messages were sent it all?
- A.
31

- B.
32

- C.
63

- D.
64

- 19.It is a sequence where each term after the first is obtained by multiplying the preceding term by the same constant.
- A.
Harmonic sequence

- B.
Geometric sequence

- C.
Infinite sequence

- D.
Finite sequence

- 20.A sequence such that the reciprocals of the terms form an arithmetic sequence.
- A.
Harmonic sequence

- B.
Geometric sequence

- C.
Arithmetic sequence

- D.
Finite sequence