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1. A sequence has the following terms:
,
represents the nth term in the sequence?
Geometric Sequences
Regents Questions
,
,
. Which formula
1)
2)
3)
4)
2. What is the explicit formula for the nth term of the sequence 54, 18, 6, … ?
3. What is the common ratio of the geometric sequence whose first term is 27 and fourth term is 64?
4. What is the fifteenth term of the sequence 5, –10, 20, –40, 80, … ?
5. What is the fifteenth term of the geometric sequence
?
6. What are the first 4 terms of a sequence with an explicit formula
What is the initial value? What is the common ratio between terms?
7. State the first 5 terms of the sequence:
?
( )
What is the initial value? What is the common ratio?
8. Is the sequence
a geometric sequence? Justify your reasoning.
9. Write a recursive formula for the sequence 27, 9, 3, 1 … ?
10. What are the missing terms of the arithmetic sequence 5, _____ , _____, –320, … ?
11. The fourth term of a geometric sequence is 4 and the seventh term is
. Find the first term.