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.
<pre>
Sequence: Geometric
Formula: {{{a[n] = a[1]*r^(n - 1)}}}
r, or common ratio: {{{1/6}}}
Explicit formula: {{{a[n] = 216(1/6)^(n - 1)}}}, or {{{a[n] = 216(1/6^(n - 1))}}}

Term 15, or {{{a[15]}}}: {{{216(1/6^(15- 1))}}}
Term 15, or {{{a[15]}}}: {{{6^3(1/6^14)}}}
Term 15, or {{{a[15]}}}: {{{1/(6^14 - 6^3)}}}___{{{1/6^11}}}, or {{{highlight_green(1/362797056)}}}