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Eleventh Grade (Grade 11) Sequences and Series Questions

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Grade 11 Sequences and Series CCSS: HSA-SSE.B.4
Find the sum of the finite geometric series.
1+4+16+64+...+49
  1. 516
  2. 2,073.3
  3. 25,347
  4. 349,525
  5. None of these are correct
Grade 11 Sequences and Series CCSS: HSF-IF.A.3
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 CCSS: HSF-IF.A.3
If a1=100 and r=12, find the 5th term of this geometric sequence.
  1. 1
  2. 1600
  3. 614
  4. 10,000
  5. none of these are correct
Grade 11 Sequences and Series CCSS: HSF-IF.A.3
In an arithmetic sequence, if the 4th term is 3 and the 22nd term is 15, then what is the 1st term?
  1. 23
  2. 1
  3. -3
  4. -43
  5. none of these are correct
Grade 11 Sequences and Series CCSS: HSA-SSE.B.4

This question is a part of a group with common instructions. View group »

How does one go from step 3 to step 4?
  1. Use polynomial long division.
  2. Apply the fundamental theorem of algebra.
  3. Factor out common factors on both sides.
  4. Multiply each side by (1-r).
Grade 11 Sequences and Series CCSS: HSA-SSE.B.4
What is the approximate sum of the first 16 numbers in the series 19+127+181+...?
  1. 0.000167
  2. 5.4×10-16
  3. 1.67
  4. 0.167
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. 6.87×1010
  3. 531,441
  4. -2,125,760
Grade 11 Sequences and Series CCSS: HSA-SSE.B.4

This question is a part of a group with common instructions. View group »

Where does the equation in step one come from?
  1. From the definition of a geometric series.
  2. From a well known polynomial identity.
  3. It is an assumption.
  4. It is simply a new and arbitrary definition of Sn.
Grade 11 Sequences and Series CCSS: HSA-SSE.B.4

This question is a part of a group with common instructions. View group »

Which of the following best explains how one arrives at the equation in step 5?
  1. By stating the definition of a finite geometric sequence.
  2. Subtract (1-r) from both sides of the equation in step 4, and then factor out common factors on the left hand side of the resulting equation.
  3. Factor (1-r) from both sides of the equation in step 4.
  4. Divide both sides of the equation in step 4 by (1-r).
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. 19,531
  2. 9.77×105
  3. 97,655
  4. 78,125
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. 1.8×1016
  2. 698,880
  3. 2,096,640
  4. 32,256
Grade 11 Sequences and Series
Find the 17th term of this sequence. an=(-1)n-1⋅n2
  1. -289
  2. 265
  3. 289
  4. -256
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