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Tenth Grade (Grade 10) Sequences and Series Questions

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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 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 10 Sequences and Series
Grade 10 Sequences and Series
Is the following sequence arithmetic? If so, find d.

100, 75, 50, 25, ...
  1. no
  2. yes; d = -25
  3. yes; d = 25
  4. Both b and c
  5. none of these are correct
Grade 10 Sequences and Series
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
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 10 Sequences and Series CCSS: HSF-BF.A.2
What is the recursive function of the geometric sequence 3, 4.5, 6.75...?
  1. [math]f(n)=1.5f(n-1)[/math] where [math]f(1)=3[/math]
  2. [math]f(n)=3xx1.5^(n-1)[/math]
  3. [math]f(n)=1.5xx3^(n-1)[/math]
  4. [math]f(n)=3f(n-1)[/math] where [math]f(1)=1.5[/math]
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. [math]f(n)=1.5f(n-1)[/math] where [math]f(1)=3[/math]
  2. [math]f(n)=3xx1.5^(n-1)[/math]
  3. [math]f(n)=1.5xx3^(n-1)[/math]
  4. [math]f(n)=3f(n-1)[/math] where [math]f(1)=1.5[/math]
Grade 10 Sequences and Series
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