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# Calculus Questions - All Grades

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Grade 10 Sequences and Series CCSS: HSF-IF.A.3
What are the next 2 numbers in the sequence $1, 5, 9...$?
1. $45,225$
2. $14,18$
3. $13,17$
4. $32,128$
College Calculus
Find the Following indefinite integral
$int(-7x^2+ 4/x- 5/x^4) dx$
1. $-7x^3 + 4 ln(|x|) -5x^-3 +C$
2. $1/3x^3 + 4ln (|x|) + 5/3 x^-3 +C$
3. $-7/3x^3 + 4ln(|x|) + 5/3x^-3 +C$
4. $-14x - 4x^-2 + 20x^-5 +C$
Grade 11 Sequences and Series
The standard form of a quadratic equation 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)
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. $78125$
Grade 11 Sequences and Series CCSS: HSA-SSE.B.4
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. $-2 125 760$
Grade 11 Sequences and Series CCSS: HSA-SSE.B.4
What is the sum of the first 6 numbers in the series $512,2048,8192,...$ ?
1. $1.8 xx 10^16$
2. $698,880$
3. $2,096,640$
4. $32,256$
Grade 10 Sequences and Series CCSS: HSF-IF.A.3
What is the 61st number in the sequence $-3, 0, 3...$?
1. $366$
2. $363$
3. $177$
4. $183$
Grade 10 Sequences and Series CCSS: HSF-IF.A.3
What are the fifth and seventh numbers in the sequence $1, 6, 36...$?
1. $216,7776$
2. $216,1296$
3. $7776,46656$
4. $1296,46656$
Grade 11 Sequences and Series
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 10 Sequences and Series
Grade 10 Sequences and Series
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. $-22/5$
College Calculus
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. $0.167$
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