Arithmetic and Geometric Sequences: Algebra 1 Math Quiz – PDF Download
Ten multiple-choice questions check your skill with sequences: telling arithmetic from geometric, finding terms, writing explicit and recursive formulas, and using sequences to model growth. Choose the one correct answer, then read the explanation to learn from any mistake.
🎯 Arithmetic and Geometric Sequences – Algebra 1 math quiz
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Question 1
What is the next term of the sequence \(5,15,45,135\)?
A\(405\)
B\(180\)
C\(270\)
D\(675\)
Question 2
What is the common difference of the sequence shown?The first four terms.
A\(8\)
B\(11\)
C\(3\)
D\(7\)
Question 3
Which explicit formula describes \(4,9,14,19\)?
A\(a_{n}=4+5n\)
B\(a_{n}=4+5(n-1)\)
C\(a_{n}=5+4(n-1)\)
D\(a_{n}=4\cdot 5^{n-1}\)
Question 4
For \(a_{n}=3\cdot 2^{n-1}\), what is \(a_{6}\)?
A\(96\)
B\(192\)
C\(36\)
D\(18\)
Question 5
Which recursive formula describes \(7,3,-1,-5\)?
A\(a_{1}=7,\ a_{n}=a_{n-1}-4\)
B\(a_{1}=7,\ a_{n}=a_{n-1}+4\)
C\(a_{1}=7,\ a_{n}=-4\cdot a_{n-1}\)
D\(a_{1}=-4,\ a_{n}=a_{n-1}+7\)
Question 6
Which statement describes the sequence graphed below?Four terms of a sequence.
AArithmetic with \(d=2\)
BArithmetic with \(d=4\)
CGeometric with \(r=2\)
DGeometric with \(r=4\)
Question 7
An arithmetic sequence has \(a_{3}=10\) and \(a_{7}=34\). What is the common difference?
A\(8\)
B\(6\)
C\(4.8\)
D\(24\)
Question 8
In the arithmetic sequence \(2,5,8,11\), which term equals 71?
AThe 23rd term
BThe 25th term
CThe 69th term
DThe 24th term
Question 9
A savings account grows 4% each year, as shown.Account value at the start of years 1 to 3. What is the value in year 4?
A$560.80
B$560.00
C$624.32
D$562.43
Question 10
A sequence has \(a_{1}=2\) and \(a_{n}=2\cdot a_{n-1}+1\). What is \(a_{4}\)?
A\(16\)
B\(11\)
C\(23\)
D\(47\)
🎉 Quiz complete!
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Remember:
Standards F-IF.A.3, F-BF.A.2 and F-LE.A.2: sequences as functions, explicit and recursive formulas, and modeling with arithmetic and geometric sequences.
