Arithmetic Sequences
What is the 30th term in the sequence with the arithmetic formula: 3n + 11
101
What is the common ratio, r, of the following sequence 1, 4, 16, 64,...
r = 4
Using the recursive formula below, what is needed to do to find the next term of the sequence? a(n + 1) = a(n) + 18
add 18 to the current term.
Does an exponential function add/subtract or multiply/divide from term to term?
multiply/divide
Identify the following sequence as arithmetic, geometric, or neither. Explain your answer. -7, -14, -21, -28,...
arithmetic, common difference = -7
What is the 50th term of a sequence if the rule is 3n - 2?
148
What is the common ratio, r, of the following sequence -3, 6, -12, 24,...
r = -2
Find the first 3 terms of the following sequence
an+1 = an - 7, and
a1 = 3
a1 = 3 a2 = -4 a3 = -11
Is the graph of an exponential function linear or curved (non-linear)?
Curved (non-linear)
Identify the following sequence as arithmetic, geometric, or neither. 3, 5, 8, 12,...
neither, there is no common difference or ratio.
Find the nth term of the following sequence -1, 4, 9, 14, 19, 24
5n - 6
what is the 6th term of the following sequence if the rule is: a(n) = 4(3)n
2916
Write a recursive formula for the following sequence 4, 19, 34, 49,...
a(n + 1) = a(n) + 15,
a(1) = 4.
Does the following equation represent an exponential growth or decay? f(n) = 112(1.5)n
Exponential Growth
Identify this sequence as either arithmetic or geometric:
a(n + 1) = a(n) + 8, and a(1) = -1
arithmetic
Find an explicit rule for the following sequence 9, 7, 5, 3, 1,...
-2n + 11
Find the explicit equation of the following sequence 20, 10, 5, 2.5,...
a(n) = 40(.5)n
Write a recursive formula for the following sequence 3, -9, 27, -81,...
a(n + 1) = (-3)a(n), and
a(1) = 3
Does the following equation represent an exponential growth or decay? f(n) = 112(.5)n
Exponential Decay
Find the next 3 terms of the sequence
1, 1, 2, 3, 5, 8, ...
13, 21, 34
What is the 50th term of the sequence below. 3, 7, 11, 15,...
199
t(2) = 20 and t(3) = 80
Find the explicit equation of this geometric sequence.
t(n) = 1.25(4n)
Write 2 recursive equations for the sequence:
40, 20, 10, 5, ...
t(n) / 2 = t(n+1)
t(n) * 1/2 = t(n+1)
Tony started with 2 bunnies and each month each pair of bunnies will have 8 babies! Write the exponential equation that can be used to find the number of bunnies at the end of any month.
y = 2(5n)
What is the name of the sequence that begins
1, 1, 2, 3, 5, 8, ...
The Fibonacci Sequence