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WorksheetsSequences & Types of Functions
Total questions: 20
Worksheet time: 5hrs 0mins
The next term of the sequence 11,8,5,2 is
-1
-2
1
2
12.7, 19.2, 25.7, 32.2...
11, 15, 19, 23, ___, _?_
A sequence can be generated by using an = 5a(n-1)
where a1 = 3
and n is a whole number greater than 1.
What are the first three terms in the sequence?
3, 15, 45
5, 8, 11
5, 15, 45
3, 15, 75
A sequence can be generated by using an = a(n-1) +9
where a1 = 4
and n is a whole number greater than 1.
What are the first three terms in the sequence?
4, 36, 324
4, 13, 22
9, 13, 17
4, 8, 12
Which of the following is not an arithmetic sequence?
1/2, 1, 3/2, 2
11, 14, 17, 20
2, 4, 8, 16
5, 2, -1, -4
Identify the common difference of the sequence below:
-2.3, -1.1, 0.1, 1.3,...
-1.2
1.3
1.2
-1.3
Write the explicit formula for the sequence shown below.
3, -3, -9, -15
an = 6n - 3
an = -6n+9
an= 6n + 9
an = 3n - 6
What is the 20th term of the arithmetic sequence shown below.
7, 4, 1,...
-49
50
-50
-51
Is the sequence geometric? If so, identify the common ratio.
-6, -12, -24, -48, ...
yes, 2
yes, -2
yes, 4
no
What is the twelfth term of this sequence?
5, 15, 45,...
295,245
600
2,657,205
885,735
Find the 8th term of a geometric sequence for which a1=2 and r = 7.
823,543
11,529,602
1,647,086
5,764,801
Is the table linear, exponential, Quadratic, or none of these?
Linear
Exponential
Quadratic
None of these
For the following sequence, state if the sequence is arithmetic or geometric. State the common difference or common ratio, and write the recursive formula AND the explicit formula for this sequence.
3, 13, 23, 33, ...
Arithmetic or Geometric? ___________
d = ______ or r = _______
Recursive Formula __________________
Explicit Formula _________________
For the following sequence, state if the sequence is arithmetic or geometric. State the common difference or common ratio, and write the recursive formula AND the explicit formula for this sequence.
3, -18, 108, -648, ...
Arithmetic or Geometric? ___________
d = ______ or r = _______
Recursive Formula __________________
Explicit Formula _________________
A population of tadpoles is growing in a swampy pond. The number of tadpoles in the pond each day is shown in the table.
Which type of function best fits the data?
Write an equation for the function (round as appropriate)
If this pattern continues, how many tadpoles will be in the pond on Day 15?
The data in the table shows how a company’s sales are changing.
Which type of function best fits the data?
Write an equation for the function (round as appropriate)
If this trend continues, what will the company’s sales will be in year 30?
