SOLUTION: Given the sequence 216,36,6,1... Answer the following: is this sequence arithmetic or geometric? Justify your answer. Write the explicit formula for this sequence and use

Algebra ->  Finance -> SOLUTION: Given the sequence 216,36,6,1... Answer the following: is this sequence arithmetic or geometric? Justify your answer. Write the explicit formula for this sequence and use       Log On


   

Question 870916: Given the sequence 216,36,6,1... Answer the following: is this sequence arithmetic or geometric? Justify your answer.



Write the explicit formula for this sequence and use it to find the 15th term of this sequence.
Found 2 solutions by Fombitz, MathTherapy:
Answer by Fombitz(32388) About Me  (Show Source):
Answer by MathTherapy(10552) About Me  (Show Source):
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Given the sequence 216,36,6,1... Answer the following: is this sequence arithmetic or geometric? Justify your answer.
Write the explicit formula for this sequence and use it to find the 15th term of this sequence.


Sequence: Geometric

Formula: a%5Bn%5D+=+a%5B1%5D%2Ar%5E%28n+-+1%29

r, or common ratio: 1%2F6

Explicit formula: a%5Bn%5D+=+216%281%2F6%29%5E%28n+-+1%29, or a%5Bn%5D+=+216%281%2F6%5E%28n+-+1%29%29



Term 15, or a%5B15%5D: 216%281%2F6%5E%2815-+1%29%29

Term 15, or a%5B15%5D: 6%5E3%281%2F6%5E14%29

Term 15, or a%5B15%5D: 1%2F%286%5E14+-+6%5E3%29___1%2F6%5E11, or highlight_green%281%2F362797056%29