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Geometric sequences
Page 9
Questions (461)
A geometric sequence is defined recursively as a1=23, an+1=an×12
What is the explicit formula for the sequence? (1 point)
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What value should replace n in sigma notation to find the sum of the first 10 terms of the geometric sequence 1,1/4,1/16, . . .
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What is a possible value for the missing term of the geometric sequence? 1250, ___, 50, ... (1 point)
Responses 1200 650 250 125
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Denim
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A rope is swinging in such a way that the length of the arc is decreasing geometrically. If the first arc is 18 feet long and
1 answer
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Denim
31 views
Is the sequence geometric? If so, identify the common ratio. 2, –4, –16, –36, ... (1 point)
Responses yes; –2 yes; 2 yes;
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Denim
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Consider the geometric sequence: 5, 15, 45, 135, 405, …. What is the common ratio?
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In a geometric sequence,T6=-243 and T3=72
Determine the first term.(2)
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DzodziieyY
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Clark puts money into his savings account for a week. The first day he puts $200 in, and then each subsequent day he puts in
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given an=7(-4)^n-1 match the term to its answer. answers may be used more than once.
initial value- a1- a3- common ratio match
1 answer
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no name
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Is the sequence geometric? If so, identify the common ratio.
2, –4, –16, –36, 1. yes; –2 2. yes; 2 3. yes; –3 4. no
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Is the sequence geometric? If so, identify the common ratio. 1/4, 3/16, 9/64, 27/256, 81/1024,,,,,,,
yes, 1/3 yes, 1/4 not
1 answer
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Denim
22 views
What is a possible value for the missing term of the geometric sequence? 39, ___ , 975, ... (1 point)
Responses –44 –195 –5
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Denim
23 views
What is the fifth term of the geometric sequence?
a1 = 120, a2 = 36, a3 = 10.8, a6 = 0.2916 (1 point) Responses 0.87 0.87 3.33
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If the second term of a geometric sequence is 4 and the third term is −12, find the explicit formula.(1 point)
Responses
3 answers
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Hana
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If the second term of a geometric sequence is 4 and the third term is −12 , find the explicit formula.(1 point)
Responses
1 answer
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Hana
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Question Find the fifth term of the geometric sequence whose first term is 81 and whose common ratio is 13 .(1
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8 views
Is the sequence geometric? If so, identify the common ratio.
2, -4, -16, -36, ... (1 point) yes; -2 yes; 2 yes; -3 no
1 answer
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5 views
What is the fifth term of the geometric sequence?
a1= 120, a2 = 36, a3 = 10.8, a6 = 0.2916 0.87 3.33 25.2 0.972
1 answer
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What is a possible value for the missing term of the geometric sequence?
1250, ___ , 50, ... (1 point) 1200 650 250 125
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Which function represents the sequence {56, −28, 14, −7...}
(1 point) Responses f(n)=56×(−12)n−1 f of n is equal to 56
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The 5th term in a geometric sequence is 120. The 7th term is 30. What are the possible values of the 6th term of the sequence?
(1
3 answers
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Study the pattern for the following geometric sequence, and write down the next two terms.
-6, 8, -32/3
3 answers
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Study the pattern for the following geometric sequence, and write down the next two terms.
14, -56, 224
1 answer
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9 views
Consider the first four terms in this geometric sequence:
-6, 18, -54, 162 If T_n is the nth term, evaluate \frac{T_2}{T_1}
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Consider the first four terms in this geometric sequence:
-6, 18, -54, 162 If T_n is the nth term, evaluate \frac{T_2}{T_1}
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Identify which of the following sequences is a geometric sequence. Check all that apply.
-48, 96, -192, 384, ... 1, 4, 9, 16, ...
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Is the sequence geometric? If so, identify the common ratio.
256, 64, 16, 4… (1 point) Responses yes; 4 yes; 4 yes; start
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What are the possible values of the missing term in the geometric sequence?
4, __, 9, … (1 point) Responses ±5 ±5 ±6 ±6
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The population of an endangered species was estimated to be 240 in 2018. The population has been tracked each year and has been
1 answer
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.
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Year%090%091%092%0D%0AAmount ($)%096,500%095,655%09 ? Townes bought a personal watercraft for $6,500. If it depreciates in value
1 answer
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.
10 views
Is the sequence geometric? If so, identify the common ratio. 1/4, 3/16, 9/64, 27/256, 81/1024
1 answer
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16 views
Is the sequence geometric? If so, identify the common ratio.
1/4, 3/16, 9/64, 27/256, 81/1024 yes; 1/3 yes; 3/4 not geometric
1 answer
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What is a possible value for the missing term of the geometric sequence?
39, __, 975.. -44 -195 -5 -4,875
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8 views
Determine whether the following sequence is geometric. If so, find the common ratio.
1, 5, 25, 125, ... Question
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If the second term of a geometric sequence is 4 and the third term is −12, find the explicit formula.(1 point)
Responses
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Find the 9th term of the geometric sequence 4, - 16, 64
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What is a possible value for the missing term of the geometric sequence?
39, ___ , 975, ... (1 point) Responses –44 –44
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Find the 13th term of the geometric sequence 7,-35,175,...
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What is the common ratio in the following geometric sequence?
2, 1/2 , 1/8 , 1/32 , . . . (1 point) Responses −1.5 1/2 1/4 4
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Find the partial sum 1+3+9+…+2187 of a geometric sequence
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What is a possible value for the missing term of the geometric sequence?
39,____, 975,...
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Find the indicated term of the geometric sequence with the given description. The 3rd term is -1/3 and the 6th term is 9. Find
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A sequence can be generated using an-3a(n-1) where a1-6 and n is a whole number greater than 1. What are the first four terms of
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Use the recursively defined geometric sequence a1=56 , an=4an−1 and find the common ratio.(1 point)
Responses 4 −2/3 negative
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Use the formula for the general term of a geometric sequence to find the indicated term of the sequence with the given first
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Use the formula for the general term of a geometric sequence to find the indicated term. Find a12 when a1=2 and r=2
1. 8192 2.
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Write the first five terms of a sequence. Don’t make your sequence too simple. Write both an explicit formula and a recursive
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Write the first five terms of a sequence. Don’t make your sequence too simple. Write both an explicit formula and a recursive
1 answer
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8 views
Is the sequence geometric? If so, identify the common ratio. , , , , , … (1 point) Responses yes; yes; Image with alt text:
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Is the sequence geometric? If so, identify the common ratio. 1/4, 1/16, 9/64, 27/256, 81/1,024, … (1 point) Responses yes;
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Parent Categories (26)
Algebra
Algebra / Arithmetic
Algebra and Equations
Algebra/Number Theory
Algebraic Equations
Algebraic Sequences
Arithmetic
Arithmetic and Geometric sequences
Arithmetic and Sequences
Exponential Functions
Financial Mathematics
Fractions/Decimals
Geometry
Graphing/Data Visualization
Math
Mathematics
Number Patterns
Number sequences
Number sequences and series
Number Theory
Patterns
Patterns and Sequences
Sequences
Sequences and Patterns
Sequences and Series
Trigonometry