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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. $32,128$
The sum to infinity of the geometric sequence $16, 8, 4, 2, ...$ is
1. $8$
2. $16$
3. $32$
4. $64$
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 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. $183$
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. $32,256$
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
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 10 Sequences and Series CCSS: HSF-IF.A.3
What are the fifth and seventh numbers in the sequence $1, 6, 36...$?
1. $216,7776$
2. $216,1296$
3. $7776,46656$
4. $1296,46656$
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
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