521B Jeopardy

Sequences and Series

100

An ordered collection of elements.

What is a sequence?

200

Find the general term of {-2, 5, 12, ...}

t_n = -2 + (n - 1)(7)

OR

t_n = 7n - 9

300

The first term of an arithmetic series is 5, the 40th term is 95. What is the sum of the first 40 terms?

2000

400

For what values of r must an infinite geometric series be in order for the series to be convergent?

-1 < r < 1

500

The first term of an infinite geometric series is 25. The common ratio is 1/3. To what numerical value will this series converge?

75/2

Or 37.5

Trigonometry

100

0^o, 90^o, 180^o, and 270^o make up what type of angles?

Quadrantal angles

200

For 0 ≤ 𝛉 < 360^o, if sin𝛉 = 1/2 in QII, then what is 𝛉?

𝛉 = 150^o

300

For which of the following values is tan𝛉 undefined?

0⁰, -50^o, 45^o, 90^o, 180^o

90^o

400

3tan(45^o) + 2sin(30^o) - cos(30^o) - sin(180^o) = 

4 - √3/2

500

This law can be used when given an angle, a side-length across from the given angle, and another side-length.

What is the sine law?

Quadratic Functions and Equations

100

The point contains either the maximum or minimum value of the parabola.

What is the vertex?

200

This vertical line divides the parabola into two symmetrical halves.

What is the axis of symmetry? 

300

Solve:

x² + 4x - 45 = 0

x = 5, x = -9

400

For a quadratic function in vertex form, if a < 0 and q < 0, then how many x-intercepts will there be?

There will be no x-intercepts.

500

Convert y = x² - 8x + 1 to vertex form.

y = (x - 4)² - 15

Rational Expressions and Equations

100

Given (x - 1) / (x - 1)(x + 7)(x - 3), how many non-permissible values will there be?

There will be 3 non-permissible values.

200

For x/(x + 5) and 1/(2x + 10) what is LCD?

LCD: 2(x + 5)

300

2/(x - 1) = 5/(x + 2)

x = 3

400

A rational number is a ratio of integers, whereas a rational expression is a ratio of _________.

polynomials

500

What is/are the non-permissible value(s) of:

1 / (x³ - x² - 2x)

x ≠ 0, x ≠ 2, x ≠ -1

???

100

This branch of mathematics deals with size, shape, and dimensions.

What is geometry?

200

This ancient Greek philosopher/mathematician's name rhymes with the children's popular item "Play-Doh"

Plato

300

These two numbers are neither composite nor prime.

0 and 1

400

This calculating device has been used since ancient times.

What is an abacus?

500

This famous number can be obtained by taking the length of the circumference and dividing it by the diameter.

What is 𝜋?