Vocabulary
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.
Is the following sequence geometric? If so, what is the multiplier? If not, explain why. t(n) = 54, 18, 6, ...
Yes. multiplier = 1/3
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
What color are the Lions? (the football team)
What is Honolulu Blue, White, Black, and Silver
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.
List the first three terms in the sequence, t(n) = 2(3)^n
6, 18, 54
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
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"
What is the explicit equation for the following arithmetic sequence? -50, -43, -36, -29, ...
What is t(n) = 7n - 57
What is the explicit equation for the following geometric sequence? 1.5, -6, 24 ...
t(n) = -0.375(-4)^n
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
What is the USA's #1 exported good?
What is Minerals / Oil fuels
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
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
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
What is the world's most populated city?
What is Tokyo, Japan
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
Write an explicit equation for a geometric sequence where t(2) = 16 and t(5) = 128.
What is t(n) = 4(2)^n
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
What holiday is November 10th?
What is the wreck of the Edmund Fitzgeraldd