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

Question 870889: Given the sequence 216,36,6,1... Answer the following: is this sequence arithmetic or geometric? Justify your answer.

Write the recursive formula for this sequence and use it to find the 16th term.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Notice how

36/216 = 1/6
6/36 = 1/6
1/6 = 1/6

So the common ratio is 1/6. This is a geometric sequence. The recursive formula is

alternatively, you can write that as

to achieve the same result. The explicit formula for the nth term is where n starts at

The 16th term is when n = 16, so...

The 16th term as a fraction is

The 16th term as a decimal is (there are 9 zeros to the right of the decimal point before you hit 4594)
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