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Sequences and Series 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]
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 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 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 12 Sequences and Series
The sum to infinity of the geometric sequence [math]16, 8, 4, 2, ...[/math] is
  1. [math]8[/math]
  2. [math]16[/math]
  3. [math]32[/math]
  4. [math]64[/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
In an arithmetic sequence, if the 4th term is 3 and the 22nd term is 15, then what is the 1st term?
  1. [math]2/3[/math]
  2. [math]1[/math]
  3. [math]-3[/math]
  4. [math]-4/3[/math]
  5. none of these are correct
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 11 Sequences and Series
Find the sum of the following finite geometric series: [math]1+4+16+64...+4^9[/math]
  1. [math]516[/math]
  2. [math]2,073.3[/math]
  3. [math]25,347[/math]
  4. [math]349,525[/math]
  5. none of these are correct
Grade 11 Sequences and Series
If [math]a_1=100[/math] and [math]r=1/2[/math], find the 5th term of this geometric sequence.
  1. [math]1[/math]
  2. [math]1600[/math]
  3. [math]6 1/4[/math]
  4. [math]10,000[/math]
  5. none of these are correct
Grade 10 Sequences and Series
Grade 10 Sequences and Series
The [math]n^(th)[/math] term of the arithmetic progression [math]-3, -8, -13, ...[/math] is
  1. [math]2+5n[/math]
  2. [math]8+5n[/math]
  3. [math]2-5n[/math]
  4. [math]8-5n[/math]
Grade 10 Sequences and Series
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