Answer:
The 11th term is 295,245.
Step-by-step explanation:
We are given the sequence:
And we want to find the 11th term.
First, let's determine whether this is an arithmetic sequence or a geometric sequence.
Arithmetic sequences have common differences, while geometric sequences have common ratios.
We can determine that our sequence is a geometric sequence because each subsequent term is triple the previous term: our common ratio is 3.
To find the 11th term, we can write an explicit formula for our sequence. The explicit formula for a geometric sequence is given by:
Where <em>a</em> is the initial term, <em>r</em> is the common ratio, and <em>n</em> is the <em>n</em>th term.
Since initial term is 5, and the common ratio is 3. Thus:
To find the 11th term, substitute 11 for <em>n: </em>
<em /><em />
Evaluate. Thus, the 11th term is: