Jeopardy Project

Sequence & Series

100

Determine if the sequence below is arithmetic or geometric and determine the common difference in simplest form.

                              16, 13, 10

This is an arithmetic sequence and the common difference is equal to −3.

200

The first three terms of a sequence are given. Find the 46th term. 

                                 2, 7, 12

227

300

Find the numerical answer to the summation given below.

n=4∑63(2n+5)

4320

Polynomial & Rational Function

100

Use the long division method to find the result when 9x³+24x²+16x+3 is divided by 3x+1.

3x²+7x+3

200

Use the long division method to find the result when 9x³+9x²+29x+18 is divided by 3x+2

3x²+x+9

300

Simplify the following expression completely.

                    x²-7x+6/x²-5x+4

x-6/x-4

Exponents & Logarithms

100

Express the following fraction in simplest form using only positive exponents.

                             20z⁴/4(z²)³

5/z²

200

Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x, and log y.

                                log x²/y

2 log x - log y

300

Solve for the exact value of x.

                        5ln(4x+9)-1=14

x = e³ - 9/4

Application of Functions

100

$4900 is placed in an account with an annual interest rate of 5.25%. To the nearest tenth of a year, how long will it take for the account value to reach $13200?

19.4 years

200

A town has a population of 7000 and grows 3.5% every year. To the nearest tenth of a year, how long will it be until the population will reach 9400?

8.6 years

300

$7600 is placed in an account with an annual interest rate of 7.5%. To the nearest tenth of a year, how long will it take for the account value to reach $34700?

21 years

Polar and Conics

100

r=10/5 + 5 cos (1/5/1/5)

e=1

200

r=5/10 - 3 cos (1/10/1/10)

e=3/10

300

r=4/1 - 2 cos

e=2