This is a list of numbers that follow a specific pattern.
(ex: 2, 4, 6, 8, 10)
(ex: 3, 9, 27, 81, 240)
What is a sequence?
2, 5, 8, 11, ...
This is the explicit formula for an arithmetic sequence.
What is an = a1 + d (n-1)?
This is what a1 stands for.
This is the formula that allows you to use the previous term and a pattern to find the next term
EX:
a(n) = a(n-1) ________ a(1) = ______
What is recursive formula?
3, 6, 12, 24, . . .
This is the explicit formula for a geometric sequence.
What is an= a1(r)(n-1)
4.5, 3, 1.5, 0 . . .
This is explicit formula for the sequence:
1, 2, 3, 4, . . .
What is an = 1 + 1 (n-1)?
3, -9, 27, -81, ...
This is the explicit formula for 2, 4, 8, 16, . . .
What is an = 2(2)(n-1)?
Concert tickets have gone up from $20, to $30, to $45 in the first 3 weeks of sales. Find the cost of a ticket after 10 weeks.
What is $768.87?
This formula allows you to plug in a number to find the nth term in a sequence.
ex.
a(n) = d(n-1)+a1
What is explicit formula?
20, 30, 45, ...
Bacteria doubles every hour. At hour 1, there are 24 bacteria. Find the explicit formula for the bacteria growth.
What is an = 24(2)(n-1)?
A ball is dropped. After the first bounce, the height is 50 feet. Each bounce after will be 87% of the previous height. Find the height of the 10th bounce.
This is what an stands for.
What is the nth term?