Write and Use Explicit Rules for Arithmetic Sequences
9th - 12th Grade
•12 Qs
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Write and Use Explicit Rules for Arithmetic Sequences
Quiz
•
Mathematics
•
9th - 12th Grade
•
Medium
Standards-aligned
MARIELLA WARREN
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12 questions
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1.
MULTIPLE CHOICE QUESTION
5 mins • 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
2.
MATCH QUESTION
5 mins • 1 pt
Match the following explicit rules to the sequence they each describe:
-4, -21, -38, -55, ...
f(n)= 4 + 13(n-1)
17, 13, 9, 5, ...
f(n)= 17 - 4(n-1)
4, 17, 30, 43, ...
f(n) = -4 - 17(n-1)
13, 17, 21, 25, ...
f(n)= 13 + 4(n-1)
Answer explanation
Remember... An explicit rule is:
"First Term Common Difference (n-1) DONE"
Tags
A.12(D) TEKS
3.
DRAG AND DROP QUESTION
5 mins • 1 pt
Fill in the blanks of the Explicit Rule with the word or expression describing what belongs there:
f( (a) ) = (b) + (c) * ( (d) )
Tags
A.12(D) TEKS
4.
CATEGORIZE QUESTION
5 mins • 1 pt
Organize these sequences into the correct category:
Groups:
(a) ARITHMETIC SEQUENCE
,
(b) NOT ARITHMETIC SEQUENCE
14, 22, 30, 38, ...
-1.5, -1, -0.5, 0, ...
-3, 6, -12, 24, ...
-4, -8, -16, -32, ...
1, 4, 9, 16, ...
3, 5, 9, 15, ...
-10, -7, -4, -1, ...
2, 4, 8, 16, ...
-50, -60, -70, -80, ...
5, 7, 9, 11, ...
Tags
A.12(C) TEKS
5.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Which arithmetic sequence is described by this explicit rule?
an = -6 + 8(n - 1)
-6, 8, 22, 36, ...
-6, -14, -22, -30, ...
-6, 2, 10, 18, ...
8, 2, -4, -10, ...
Tags
A.12(C) TEKS
6.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Which arithmetic sequence is described by this explicit rule?
an = 12 + 4(n - 1)
12, 4, -4, -12, ...
12, 16, 20, 24, ...
4, 16, 28, 40, ...
answer not here
Tags
A.12(C) TEKS
7.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Which arithmetic sequence is described by this explicit rule?
an = -0.5 - 1.5(n - 1)
-0.5, -2, -3.5, -5, ...
-1.5, -2, -2.5, -3, ...
-0.5, 1, 2.5, 4, ...
answer not here
Tags
A.12(C) TEKS
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