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WorksheetsTUN-AN INI!
Total questions: 25
Worksheet time: 29mins
Given the explicit formula of an arithmetic sequence 𝑎𝑛 = −1 + 2𝑛, find its first three terms.
A. 5, 3, 1
B. -5, -3, -1
C. -1, -3, -5
D. 1, 3, 5
Which of the following illustrates an arithmetic sequence?
A. 4, 12, 36, 72, …
B. 30, -40, 50, -60, …
C. 35, 32, 29, 26, …
D. 31,61,91,121...
What is the first term of the arithmetic sequence __, −38, −45, −52, −59?
A. -31
B. -32
C. -33
D. D. -34
The first term of an arithmetic sequence is 7 and the last term is 15. If there are 5 terms in total, what is the third term?
A. 9
B. 11
C. 13
D. 14
The arithmetic mean between two terms in an arithmetic sequence is 19. If one of these terms is 14, find the other term.
A. 23
B. 24
C. 25
D. 26
Which of the following sequences illustrate a geometric sequence?
A. −1, −3, −9, −27, . . .
B. −7, −9, −11, −13, . . .
C. 8, 6, 4, 2, …
D. 10, -15, 20, -25, . .
What do you call a sequence of numbers in which each term is obtained from the previous by multiplying the same value called the common ratio(r)?
A. Geometric Series
B. Geometric Sequence
C. Arithmetic Sequence
D. Arithmetic Series
Michael’s exercise plan lasts for 6 minutes on the first day and increases by 4 minutes each day. For how long will Michael exercise on the eighteenth day?
A. 68
B. 70
C. 72
D. 74
Eduard started with 10 mice as his pet. From the following month onward, the mice population tripled every month. Let g(n) represents the number of mice in the n-th month since he acquired the mice. What type of sequence does g(n) represent?
A. Harmonic
B. Geometric
C. Fibonacci
D. Arithmetic
Kennedy dropped a rubber ball from a height of 50 cm. Each bounce is 1 5 as high as the preceding one. How high does the ball bounce the third time?
A. 25 cm
B. 10 cm
C. 5 cm
D. 2 cm
Find the 5th term in the geometric sequence 5, 20, 80, ...
A. 100
B. 140
C. 320
D. 1280
In a lecture hall, there are 20 rows of seats with 10 seats in the first row, 11 seats in the second row, 12 seats in the third row, and so on. In total, how many seats are there in the concert hall?
A. 590
B. 490
C. 390
D. 290
In celebration for Teacher’s Month, the Grade 10 Class Integrity decided to give flowers to their class adviser according to the Fibonacci sequence. On the first week, they give two red roses, on the second week, five red roses, and so on. How many roses did their class adviser receive on the 4th week?
A. 10
B. 11
C. 12
D. 13
Ellen is trying to use synthetic division to solve (x3 + 6x2 + 2x - 12) ÷ (x + 2). What value should go in the box next?
A. – 1
B. – 2
C. 1
D. 2
What is the remainder?
A. -6
B. 0
C. 6
D. 5x
Which is the divisor?
A. x + 4
B. 5x – 6
C. 5x2 + 20x
D. 5x2 + 14x - 24
Brian divided x4 – 10x2 – 2x + 4 by x + 3 using synthetic division. Her work is shown below. Identify his mistake.
A. Brian wrote the remainder incorrectly.
B. Brian did not use a zero place holder for the x3 term.
C. Brian added instead of subtracting the rows.
D. Brian should have used 3 as her division since the divisor is x + 3.
If the remainder after dividing polynomial (4𝑥3 − 2𝑥2 + 𝑘) by (x+ 1) is 6, which of the following must be the value of k?
A. 10
B. 11
C. 12
D. 13
If f(7)=0, which of the following statements about f(x) is true?
A. x + 7 is a factor of f(x)
B. – 7 is a root of f(x) = 0
C. 0 is the least value of f(x)
D. 7 is a zero of f(x)
Find the remainder when 9x2 – 40x – 25 is divided by x – 5.
A. – 5
B. – 1
C. 0
D. 5
If x – c is a factor of p(x), then p(c) = _____.
A. 2
B. 1
C. 0
D. -1
Find g(-1) if g(x) = 2x3 – 5x2 + 6x – 11
A. – 1
B. – 8
C. – 16
D. – 24
What value k will make x - 1 a factor of 𝑥 3 + (𝑘 + 1)𝑥 2 + 2𝑥 + 1?
A. -5
B. -3
C. 3
D. 5
Find the zeros of y = x(x – 4)(x – 6).
A. 6, 4
B. 0, - 4, - 6
C. 4, 6, - 4
D. 0, 4, 6
Find a polynomial equation whose roots are -1, -2, and 2.
A. x3 + x2 – 4x – 4 = 0
B. x3 – x2 – 4x – 4 = 0
C. x3 + x2 – 4x + 4 = 0
D. x3 + x2 + 4x – 4 = 0
