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Jeopardy$100

Arithmetic Geometric Simple and Compound

Future & Present

$100 $100 $100 $100

$200 $200 $200 $200 $200

$300 $300 $300 $300

$400 $400 $400 $400 $400

$300

$500 $500 $500 $500 $500

The End

Pascal's Triangle

Find the 10th term of the sequence:3,5,7,9

The tenth term is 21.

Find a formula for the sequence:2,6,10,14

2

4n-2 Find the number of terms in the sequence:

7,10,13,...,55

n=17 Find the sum of the first 12 positive even

integers.

156 A theatre has 6o seats in the first row, 68 seats in the second row, 76 seats in the third row, and so on in the same increasing pattern. If the theatre has 20 rows of

seats, how many seats are in the theatre?

3

2720 seatsFind the 7th term of the sequence:2,6,18,54

The seventh term is 1458.

Find the 8th term of the sequence:

0.5, 3.5, 24.5, 171.5,...

411,771.5Find the sum of the first 8 terms of the sequence:

-5, 15, -45, 135

4

8200 The third term of a geometric sequence is 3 and the sixth term is 1/9. Find the first term.

The first term is 27.

A ball is dropped from a height of 8 feet. The ball bounces to 80% of its previous height with each bounce. How high (to the nearest tenth) does the ball bounce on

the fifth bounce?

2.6 feet (x+y)3

5

x3+3x2y+3xy2+y3 (2x+y)3

8x3+12x2y+6xy2+y3 (3a-2b)5

243a5-810a4b+1080a3b2-720a2b3+240ab4-32b5 (1+2/x)3

6

1+6/x+12/x2+8/x3 (u-v)5

u5-5u4v+10u3v2-10u2v3+5uv4-v5

Express 36 months in terms of years.

3 yearsIf simple interest is charged at 5%

on a $10,000 loan for 3 years, what it the total interest payable.

7

$1500

`

What principle is needed to have $500 in interest in 2

years invested at 2.5% simple

interest?

$10,000Given an

interest rate of 8.5% for 5

years, determine the interest rate

and the number of

periods compounded

monthly.

i=0.00708333n=60

If you have a bank account

whose principal is $1000 and your bank account

compounds the interest

twice a year at 5%, how

much money do you have at the end of 1

year?

8

$1050.63Jane deposits $100 on March 31, June 30,

September 30 and December 31 every year for 20 years. The investment pays

4% compounded quarterly. How much is in the account when the last payment is

made?

$12 167.15Mike would like to retire in 15 years with $1,000,000. What equal monthly payment will achieve this goal?

The account pays 5% compounded monthly.

$3804.14 Megan invests $650 every 6 months at 4.6% compounded semi-annually. How much interest will

she have earned after 25 years?

9

$27,337.37Cindy is putting her summer earnings into an

annuity from which she can draw living expenses while she is at university. She will need to

withdraw $900 per month for 8 months. Interest is earned at a rate of 6% compounded monthly. How much does Cindy need to invest at the beginning

of the school year to finance the annuity?

$7040.66Fast forward 40 years, Lisa life savings total $300,000 when she decides to retire. She plans an annuity that will pay her quarterly for the next 30 years. If her account earns 5.2% annual interest, compounded quarterly, how much

can Lisa withdraw each quarter?

$4950