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# Common Core Standard HSA-SSE.B.4 Questions

Derive the formula for the sum of a finite geometric series (when the common ratio is not 1), and use the formula to solve problems. For example, calculate mortgage payments.

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Grade 11 Sequences and Series CCSS: HSA-SSE.B.4
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. $0.167$
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. $1.8 xx 10^16$
2. $698,880$
3. $2,096,640$
4. $32,256$
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. $19531$
2. $9.77 xx10^5$
3. $97655$
4. $78125$
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. $6.87 xx10^10$
3. $531441$
4. $-2 125 760$
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