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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
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. $-2 125 760$
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 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
Find the sum of the following 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
Grade 11 Sequences and Series
In an arithmetic sequence, if the 4th term is 3 and the 22nd term is 15, then what is the 1st term?
1. $2/3$
2. $1$
3. $-3$
4. $-4/3$
5. none of these are correct
Grade 11 Sequences and Series
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
If $a_1=100$ and $r=1/2$, find the 5th term of this geometric sequence.
1. $1$
2. $1600$
3. $6 1/4$
4. $10,000$
5. none of these are correct
Grade 11 Sequences and Series CCSS: HSA-SSE.B.4
What is the 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
Find the 12th term of the sequence $a_n=(-1)^(n+1) * e^(n^2)$
1. -144
2. 144
3. $-e^144$
4. $e^144$
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