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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, HSF-BF.A.2, HSF-LE.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)=3⋅1.5n-1
  3. f(n)=1.5⋅3n-1
  4. f(n)=3f(n-1) where f(1)=1.5
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
Grade 10 Sequences and Series CCSS: HSF-IF.A.3
Find the tenth term of the geometric sequence if the first term is 5 and the common ratio is 2.
  1. 1,000,000
  2. 1,000,000,000
  3. 2,560
  4. 25,6000
Grade 10 Sequences and Series CCSS: HSF-IF.A.3
Find the 100th term in the sequence: -3, -5, -7, -9, ...
  1. 195
  2. -201
  3. 201
  4. -195
Grade 10 Sequences and Series CCSS: HSF-IF.A.3
What is the nth term of the arithmetic progression, -3,-8,-13,...?
  1. 2+5n
  2. 8+5n
  3. 2-5n
  4. 8-5n
Grade 10 Sequences and Series CCSS: HSF-BF.A.1, HSF-BF.A.1a, HSF-BF.A.2, HSF-LE.A.2
Given the sequence 1,4,16,64,256,..., which of the following correctly defines this sequence in a recursive form? Assume that n∈ℕ.
  1. t(1)=1;  t(n)=4t(n-1), n>1
  2. t(1)=4;  t(n)=4t(n-1), n>1
  3. t(1)=1;  t(n)=14t(n-1), n>1
  4. t(1)=1;  t(n)=22(n-1),n>1
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
Find the sum of the first 50 terms in the sequence 2, 6, 10, 14...
  1. 5000
  2. 198
  3. 2500
  4. 500
Grade 10 Sequences and Series CCSS: HSF-IF.A.3, HSF-BF.A.2, HSF-LE.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)=3×1.5n-1
  3. f(n)=1.5×3n-1
  4. f(n)=3f(n-1) where f(1)=1.5
Grade 10 Sequences and Series CCSS: HSF-IF.A.3
Match the function to its corresponding sequence:
__ a(x)=5(x+3)2 A. 80,125,180,245,320...
__ a(x)=x2-x B. 18,24,42,96,258...
__ a(x)=2x2+3x3 C. 5,32,99,224,425...
__ a(x)=3x+15 D. 0,2,6,12,20...
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