Arithmetic Sequences
Geometric Sequences
Recursive Sequences
Exponential Functions
Grab Bag
100
What is the 30th term in the sequence with the arithmetic formula: 3n + 11
101
100
What is the common ratio, r, of the following sequence 1, 4, 16, 64,...
r = 4
100
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.
100
Does the following equation represent an exponential growth or decay? f(t) = 112(1 - .23)t
exponential decay
100
Identify the following sequence as arithmetic, geometric, or neither. Explain your answer. -7, -14, -21, -28,...
arithmetic, common difference = -7
200
What is the 50th term of a sequence if the rule is 3n - 2?
148
200
What is the common ratio, r, of the following sequence -3, 6, -12, 24,...
r = -2
200
Find the first 3 terms of the following sequence an+1 = an - 7, and a1 = 3
a1 = 3 a2 = -4 a3 = -11
200
Does the following equation represent an exponential growth or decay? w(t) = 36(1.05)t
exponential growth
200
Identify the following sequence as arithmetic, geometric, or neither. 3, 5, 8, 12,...
neither, there is no common difference or ratio.
300
Find the nth term of the following sequence -1, 4, 9, 14, 19, 24
5n - 6
300
what is the 6th term of the following sequence if the rule is: a(n) = 4(3)n-1
972
300
Write a recursive formula for the following sequence 4, 19, 34, 49,...
a(n + 1) = a(n) + 15, a(1) = 4.
300
What is the formula for an exponential growth model?
y = a(1 + r)t
300
What property is shown below ab = ba
commutative property of multiplication
400
Find an explicit rule for the following sequence 9, 7, 5, 3, 1,...
-2n + 11
400
Find the nth term of the following sequence 20, 10, 5, 2.5,...
a(n) = 20(.5)n-1
400
Write a recursive formula for the following sequence 3, -9, 27, -81,...
a(n + 1) = (-3)a(n), and a(1) = 3
400
Zach deposits $300 into a savings account that earns 3.5% interest compounded yearly. What will the balance of the account be after 5 years?
$356.31
400
List the first four terms of the sequence, and identify it as either arithmetic or geometric a(n + 1) = a(n) + 8, and a(1) = -1
a(1) = -1, a(2) = 7, a(3) = 15, a(4) = 23 arithmetic
500
What is the 50th term of the sequence below. 3, 7, 11, 15,...
199
500
Anna bought a car for $10,000, it depreciates (decreases) at a rate of 9% per year. How much will the car be worth in 5 years?
$6,240.32
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