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# Sequences and Series Questions - All Grades

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Grade 10 Sequences and Series CCSS: HSF-IF.A.3
What are the next 2 numbers in the sequence $1, 5, 9...$?
1. $45,225$
2. $14,18$
3. $13,17$
4. $32,128$
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. $0.167$
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
Which formula represents the general term of the following sequence? $1/2, -1, 2, -4, ...$
1. $a_n = 1/2 * 2^n$
2. $a_n = 1/2 * (-2)*(n-1)$
3. $a_n = 1/2 * -2^(n-1)$
4. $a_n = 1/2 * (-2)^(n-1)$
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 10 Sequences and Series CCSS: HSF-IF.A.3
What is the 61st number in the sequence $-3, 0, 3...$?
1. $366$
2. $363$
3. $177$
4. $183$
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