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# Calculus Questions - All Grades

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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. $78125$
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