WorksheetsArithmetic Sequences--the basics only Explicit Formula
Total questions: 11
Worksheet time: 33mins
An arithmetic sequence is one in which...
a constant number is multipled
a constant number is divided
a constant number is added to each term
there is not pattern
Is this an arithmetic sequence? 1, 2, 3, 4, 5...
Yes because you are multiplying by one every time.
Yes because you are adding 1 each time.
No because it starts at 1.
No because it doesn't start at 0.
Is this an arithmetic sequence? 3, 6, 9, 13, 17, 21...
No because there is not a common difference every time.
No because it is not subtracting
Yes because you are adding 3 or 4 every time
Yes because you are adding 3 every time
What is the common difference? 5, 7, 9, 11, 13 ...
-1
+1
-2
+2
What is the common difference? 15, 10, 5, 0, -5, -10 ...
+10
-10
-5
+5
How do you set up the explicit formula for this sequence? 5, 7, 9, 11, 13 ...
an= −5+(n−1)(−2)
an=−5+(n−1)(2)
an= 5+(n−1)(−2)
an= 5+(n−1)(2)
How do you set up the explicit formula for this sequence? 15, 10, 5, 0, -5 ...
an= −5+(n−1)(−15)
an= −5+(n−1)(15)
an= 15+(n−1)(−5)
an= 15+(n−1)(5)
Simplify this explicit formula:
an= 5+(n−1)(2)an=2n +7
an=2n −7
an=2n +3
an=2n +5
Simplify this explicit formula: an=15+(n−1)(−5)
an=−5n+20
an=−5n+15
an=−5n+10
an=5n+15
Write the explicit formula for this sequence:
100, 112, 124, 136 ...
an=12n +100
an=−12n +100
an=12n+112
an=12n + 88
Write the explicit formula for this sequence:
100, 93, 86, 79, 72...
an=−7n + 107
an=−7n + 100
an=−7n + 93
an=7n + 107
