Arithmetic Sequences Explicit Rule

Quiz
•
Mathematics
•
9th Grade
•
Hard
Standards-aligned
Anthony Clark
FREE Resource
14 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Create the explicit formula for the sequence:
2, 8, 14, ...
y=2+6x
y=-6+6x
y=6x-4
y=4-6x
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Find the common difference: 29, 21, 13, 5, ...
d = -10
d = -9
d = -8
d = -7
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Find the next three terms in the arithmetic sequence: -33, -24, -15, -6, ...
-1, 7, 15
-5, 2, 9
3, 12, 21
-65, -73, -81
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which formula below shows how to write an EXPLICIT formula for an arithmetic sequence?
f(n) = f(1) + d(n - 1)
f(1) = 1st term
d = common difference
n = position of a term
f(n) = value of nth term
f(n) = d + f(1)(n - 1)
f(1) = 1st term
d = common difference
n = position of a term
f(n) = value of nth term
f(1) = d + f(n)(n - 1)
f(1) = 1st term
d = common difference
n = position of a term
f(n) = value of nth term
Answer explanation
Remember... An explicit rule is:
"First Term Common Difference (n-1) DONE"
Tags
A.12(D) TEKS
5.
MATCH QUESTION
1 min • 1 pt
Match the following explicit rules to the sequence they each describe:
17, 13, 9, 5, ...
f(n) = -4 - 17(n-1)
-4, -21, -38, -55, ...
f(n)= 13 + 4(n-1)
4, 17, 30, 43, ...
f(n)= 4 + 13(n-1)
13, 17, 21, 25, ...
f(n)= 17 - 4(n-1)
Answer explanation
Remember... An explicit rule is:
"First Term Common Difference (n-1) DONE"
Tags
A.12(D) TEKS
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which arithmetic sequence is described by this explicit rule?
-6, 8, 22, 36, ...
-6, -14, -22, -30, ...
-6, 2, 10, 18, ...
8, 2, -4, -10, ...
Tags
A.12(C) TEKS
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which arithmetic sequence is described by this explicit rule?
12, 4, -4, -12, ...
12, 16, 20, 24, ...
4, 16, 28, 40, ...
answer not here
Tags
A.12(C) TEKS
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