Video Notes Review: Sequences, Polynomials, and Related Concepts (Pages 1–2)

A set of practice flashcards covering patterns, sequences, polynomials, and related arithmetic.

What comes next in the pattern 1, 2, A, 3, 4, E, 5, 6, I, 7, 8, ____? A. K B. O C. T D. U

O

Which of the following is the formula in finding the geometric mean? A. r = an/a1 B. GM = C. GM = (a √ab n + a1)/2 D. None of these

None of these

What is the twentieth term of the arithmetic sequence 18, 15, 12,… ?

-39

It is a special type of average where we multiply the numbers together and then take a square root (for two numbers), cube root (for three numbers) etc.

Geometric Mean

What is the sum of the first twelve terms of the arithmetic sequence 1, 5, 9,. ?

276

What is the Geometric Mean of 1 and 81?

9

What is the sixth term of the geometric sequence if the first term is 5, and the second term is 10,?

160

The common ratio of a geometric sequence is 1/2 , and the fourth term is 1/4 . What is the first term of the sequence?

2

Which term of the arithmetic sequence 5, 9, 13, 17, … is 409? A. 99th term B. 100th term C. 111th term D. 102th term

102nd term

If three arithmetic means are inserted between 11 and 39, What is the second arithmetic mean?

25

Which of the following is the arithmetic mean between 2-√3 and 4-√3?

3-√3

If 7 is a rational zero of the polynomial P(x) = 2x3 - 14x2 + x – 7, which of the following is NOT true?

(x + 7) is a factor of P(x)

If -1/2, ¼, -1/8,1/16 is a geometric sequence, what is the common ratio?

-1/2

What is the 50th term of the arithmetic sequence -1, 3, 7, 11,…?

195

What is the remainder when x4 + 2x2 +4x−3 is divided by x + 2 ?

13

Find a quadratic polynomial with roots -1 and 2.

x^2 - x - 2 = 0

How many possible real roots does the polynomial equation 4x3 + 4x2 - 31x + 5 = 0 have?

3

What is the sum of the first 100 positive odd numbers?

10000

What will be multiplied to x2−6x+2 to get 3x3−17x2+2?

3x + 1

What is the value of k so that x+5 is a factor of P(x)=x3 +5x2 –kx–20.

4

Find the sum of the first six terms of a geometric sequence whose first term is 2 and common ratio is 2/3.

1330/243

If a3 =11 and a5 =7 and ak is the kth term of the sequence and ak =-9, then what is the value of k?

13

According to Rational Root Theorem, which of the following is a possible zero of the polynomial P(b)= 6b3 – 3b2 + 2b – 4?

1/2

Which polynomial gives a remainder of zero when divided by 3x – 2?

12x^2 + 19x - 18

A ball tossed to a height of 8 meters rebounds to its previous height. Find the distance the ball has traveled when it comes to rest.

32

Jose was saving for a pair of shoes. From his weekly allowance, he was able to save Php 5 on the first week, Php 9 on the second, Php 13 on the third week, and so on. If he continued saving in this pattern and made 43 deposits, how much did Franco save?

Php 3827

Ana gets a starting monthly salary of Php 8,000 and an increase of Php 800 annually. How much income did she receive for the first four years?

Php 441,600

The volume of a rectangular prism is (2x3 + 11x2 + 11x − 4)cm3 and its height is (x + 4) cm. What is the area of its base?

2x^2 + 3x − 1