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Vocabulary
Arithmetic
Geometric
Equations
Random Trivia
100
What is a sequence?
An ordered list of numbers that has a pattern
100

Is this sequence arithmetic? If so, what is the common difference? If not, why is it not arithmetic? 1.5, 4, 6.5,...

Yes. The common difference is 2.5.

100

Is the following sequence geometric? If so, what is the multiplier? If not, explain why. t(n) = 54, 18, 6, ...

Yes. multiplier = 1/3

100

The explicit equation for an arithmetic sequence is t(n) = 3.5n +7. What is the recursive equation?

What is t(n+1) = t(n) + 3.5; t(1) = 10.5

100

What color are the Lions? (the football team)

What is Honolulu Blue, White, Black, and Silver

200
What is an arithmetic sequence?
A sequence where you add the same number each time
200

Is this sequence arithmetic? If so, what is the common difference? If not, why is it not arithmetic? 4, -5, -14, -25,...

No. This is not arithmetic, because you are not adding the same amount each time.

200

List the first three terms in the sequence, t(n) = 2(3)^n

6, 18, 54

200

The explicit equation for a geometric sequence is t(n) = 3.5(5)^n. What is the recursive equation?

What is t(n+1) = t(n)*5; t(1) = 17.5

200

What Nicholas Sparks book about a young socialite and her long-time crush was made into a 2004 movie? (Hint, starring Ryan Gossling)

What is "The Notebook"

300
What is a geometric sequence?
A sequence where you multiply by the same number each time.
300

What is the explicit equation for the following arithmetic sequence? -50, -43, -36, -29, ...

What is t(n) = 7n - 57

300

What is the explicit equation for the following geometric sequence? 1.5, -6, 24 ...

t(n) = -0.375(-4)^n

300

What are the general explicit equations for arithmetic and geometric sequences?

Arithmetic: t(n) = (common difference)(n) + t(o); Geometric: t(n) = t(0)*multiplier^n

300

What is the USA's #1 exported good?

What is Minerals / Oil fuels

400
What is a common difference? What is a multiplier?
A common difference is an number that you add to a term in an arithmetic sequence to get the next term. A multiplier is a number that you multiply a term in a geometric sequence by to get the next term.
400

Mr. Stark averaged 123 total pins per game in his bowling league this season. He is taking bowling lessons and hopes to bring his average up by 8 pins each new season. Write an equation to represent the nth term of the sequence. Make sure to define your variables.

What is n = # of seasons; t(n) = bowling average; t(n) = 8n +115

400

Linda receives a joke in an E-mail that asks her to forward it on to four of her friends. She forwards it, then each of her friends forwards it to four of their friends, and so on. If the pattern continues, how many people will receive the E-mail on the ninth round of forwarding?

262,144 people

400

For the sequence t(n) = 4(-3)^n, can t(n) be 324? If so, what term number has this value? If not, explain why.

Yes, n = 4

400

What is the world's most populated city?

What is Tokyo, Japan

500
What is a recursive equation?
An equation that depends on knowing other terms in the sequence.
500

Write an explicit equation for an arithmetic sequence, t(n) = 17, 14, 11, ... and then determine t(50)

What is t(n) = -3n + 20; t(50) = -130

500

Write an explicit equation for a geometric sequence where t(2) = 16 and t(5) = 128.

What is t(n) = 4(2)^n

500

For the sequence t(n) = 3n + 7, can t(n) be 85? If so, what term number has this value? If not, explain why.

Yes, n = 26

500

What holiday is November 10th?

What is the wreck of the Edmund Fitzgeraldd