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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 $1+2+4+8+16+32+... ?$
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.
$1+4+16+64 +...+4^9$
1. $516$
2. $2","073.3$
3. $25","347$
4. $349","525$
5. None of these are correct
4.
What is the sum of the first 12 numbers in the series $8+24+72+216+648 +... ?$
1. $2"," 125"," 760$
2. $6.87 xx10^10$
3. $531","441$
4. $-2"," 125"," 760$
5.
What is the sum of the first 7 numbers in the series $5+25+125+625 + ... ?$
1. $19","531$
2. $9.77 xx10^5$
3. $97","655$
4. $78","125$
6.
What is the approximate sum of the first 16 numbers in the series $1/9+1/27+1/81 +... ?$
1. $0.000167$
2. $5.4 xx10^-16$
3. $1.67$
4. $0.167$
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 $512+2048+8192+... ?$
1. $1.8 xx 10^16$
2. $698","880$
3. $2","096","640$
4. $32","256$
9.
Find the sum of the first 9 terms of the geometric series $1024 + 512 + 256 + ...$
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 $4 + (-12) + 36 + (-108) + ... ?$
1. -14,762
2. 118,096
3. -59,048
4. 177,148
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