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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 [math]1, 5, 9...[/math]?
  1. [math]45,225[/math]
  2. [math]14,18[/math]
  3. [math]13,17[/math]
  4. [math]32,128[/math]
College Calculus
Find the Following indefinite integral
[math]int(-7x^2+ 4/x- 5/x^4) dx[/math]
  1. [math]-7x^3 + 4 ln(|x|) -5x^-3 +C[/math]
  2. [math]1/3x^3 + 4ln (|x|) + 5/3 x^-3 +C[/math]
  3. [math]-7/3x^3 + 4ln(|x|) + 5/3x^-3 +C[/math]
  4. [math]-14x - 4x^-2 + 20x^-5 +C[/math]
Grade 11 Sequences and Series
The standard form of a quadratic equation is the following:
  1. y = mx + b
  2. [math]y = ax^2 + bx + c[/math]
  3. [math]y = a(x - h)^2 + k[/math]
  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 [math]5,25,125,625,...[/math] ?
  1. [math]19531[/math]
  2. [math]9.77 xx10^5[/math]
  3. [math]97655[/math]
  4. [math]78125[/math]
Grade 11 Sequences and Series CCSS: HSA-SSE.B.4
What is the sum of the first 12 numbers in the series [math]8,24,72,216,648...[/math] ?
  1. [math]2 125 760[/math]
  2. [math]6.87 xx10^10[/math]
  3. [math]531441[/math]
  4. [math]-2 125 760[/math]
Grade 11 Sequences and Series CCSS: HSA-SSE.B.4
What is the sum of the first 6 numbers in the series [math]512,2048,8192,...[/math] ?
  1. [math]1.8 xx 10^16[/math]
  2. [math]698,880[/math]
  3. [math]2,096,640[/math]
  4. [math]32,256[/math]
Grade 10 Sequences and Series CCSS: HSF-IF.A.3
What is the 61st number in the sequence [math]-3, 0, 3...[/math]?
  1. [math]366[/math]
  2. [math]363[/math]
  3. [math]177[/math]
  4. [math]183[/math]
Grade 10 Sequences and Series CCSS: HSF-IF.A.3
What are the fifth and seventh numbers in the sequence [math]1, 6, 36...[/math]?
  1. [math]216,7776[/math]
  2. [math]216,1296[/math]
  3. [math]7776,46656[/math]
  4. [math]1296,46656[/math]
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
Given the general term of a sequence is [math]T_n=(2n+1)/(3n-4)[/math], find the sum of the first 3 terms.
  1. [math]9/10[/math]
  2. [math]6[/math]
  3. [math]69/10[/math]
  4. [math]-22/5[/math]
Grade 11 Sequences and Series CCSS: HSA-SSE.B.4
What is the sum of the first 16 numbers in the series [math]1/9,1/27,1/81...[/math]?
  1. [math]0.000167[/math]
  2. [math]5.4 xx10^-16[/math]
  3. [math]1.67[/math]
  4. [math]0.167[/math]
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