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# Sequences and Series Questions - All Grades

You can create printable tests and worksheets from these Sequences and Series questions! Select one or more questions using the checkboxes above each question. Then click the add selected questions to a test button before moving to another page.

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Find the next three terms in this sequence: 5120, 1280, 320, 80...
1. -160, -400, -640
2. 20, 5, 1.25
3. 40, 20, 10
4. 76, 72, 68
Grade 11 Sequences and Series CCSS: HSA-SSE.B.4
What is the sum of the first 16 numbers in the series $1/9,1/27,1/81...$?
1. $0.000167$
2. $5.4 xx10^-16$
3. $1.67$
4. $0.167$
Grade 10 Sequences and Series CCSS: HSF-BF.A.2
What is the recursive function of the geometric sequence 3, 4.5, 6.75...?
1. $f(n)=1.5f(n-1)$ where $f(1)=3$
2. $f(n)=3xx1.5^(n-1)$
3. $f(n)=1.5xx3^(n-1)$
4. $f(n)=3f(n-1)$ where $f(1)=1.5$
The standard form of a quadratic equation in standard form is the following:
1. y = mx + b
2. $y = ax^2 + bx + c$
3. $y = a(x - h)^2 + k$
4. y = a(x - p)(x - q)
Given the general term of a sequence is $T_n=(2n+1)/(3n-4)$, find the sum of the first 3 terms.
1. $9/10$
2. $6$
3. $69/10$
4. $-22/5$
Grade 10 Sequences and Series CCSS: HSF-BF.A.2
What is the explicit function of the geometric sequence 3, 4.5, 6.75...?
1. $f(n)=1.5f(n-1)$ where $f(1)=3$
2. $f(n)=3xx1.5^(n-1)$
3. $f(n)=1.5xx3^(n-1)$
4. $f(n)=3f(n-1)$ where $f(1)=1.5$
Grade 12 Sequences and Series CCSS: HSA-SSE.B.4
Grade 11 Sequences and Series CCSS: HSA-SSE.B.4
What is the sum of the first 7 numbers in the series $5,25,125,625...$
1. $19531$
2. $9.77 xx10^5$
3. $97655$
4. $78125$
What is the sum of the first 12 numbers in the series $8,24,72,216,648...$
1. $2 125 760$
2. $6.87 xx10^10$
3. $531441$
4. $-2 125 760$