Name:
Period:
Date: 9/10/14
Arithmetic and Geometric Sequences
Write an “A” next to arithmetic sequences and “G” next to geometric sequences.
1.
2.
3.
4.
5.
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1, 4, 7, 10, 13, 16 …
3, 6, 12, 24, 48 …
230, 210, 190, 170 …
512, 128, 32, 8, 2, ½, …
2, 12, 72, 432, 2592, 15552
Use your formula to determine the element each question asks for:
6. An arithmetic sequence starts with the number 87, and the constant difference is 7. What is the 9th term in the
sequence?
7. An arithmetic sequence starts with the number 18 and the constant difference is -3. What is the 8th term in the
sequence.
8. An arithmetic sequence starts with the number -10 and the constant difference is 5. What is the 6th term in the
sequence.
9. A geometric sequence starts with the number 3 and the factor is 2. What is the 5th term in the sequence.
1
10. A geometric sequence starts with the number 64 and the factor is 2. What is the 3rd term in the sequence.
11. An arithmetic sequence starts with 18 and the constant difference is -3. What is the 8th term in the sequence.
Direction: Find the given term as directed:
12. Find the 4th term of a sequence with formula 7 + n
13. Find the 7th term of a sequence with formula 1 + n2
14. Find the 3rd term of a sequence with formula 3 + 4n
v
15. Find the 2nd term of a sequence with formula 2n2 – 7
Challenge Problems:
16. The next term of a sequence is the sum of all the previous terms in the sequence. The first two terms are 1, 1…
fill in the next 8 terms.
17. Follow the same rule as 16, but use “2, 3” as the first two terms and fill out the next 8 terms.