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Finite Geometric Series

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Finite Geometric Series Answer Key

1. 
What is the sum of the first 5 numbers in the series [math]1+2+4+8+16+32+... ?[/math]
  1. 16
  2. 31
  3. 32
  4. 63
2. 
What is the first term in a geometric series whose common ratio is 2, and where the sum of the first 7 terms is 635?
  1. 1
  2. 0
  3. 2
  4. 5
3. 
Find the sum of the 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
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]531","441[/math]
  4. [math]-2"," 125"," 760[/math]
5. 
What is the sum of the first 7 numbers in the series [math]5+25+125+625 + ... ?[/math]
  1. [math]19","531[/math]
  2. [math]9.77 xx10^5[/math]
  3. [math]97","655[/math]
  4. [math]78","125[/math]
6. 
What is the approximate 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]
7. 
Find the sum of the first five terms of the geometric sequence with first term is 5 and common ratio 10.
  1. 5,050
  2. 50,000
  3. 5,000
  4. 55,555
8. 
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]
9. 
Find the sum of the first 9 terms of the geometric series [math]1024 + 512 + 256 + ... [/math]
  1. 2,044
  2. 523,264
  3. 2,040
  4. 2,046
10. 
What is the sum of the first 10 terms of the series [math]4 + (-12) + 36 + (-108) + ... ?[/math]
  1. -14,762
  2. 118,096
  3. -59,048
  4. 177,148

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