Finding the 6th Term of a Geometric Sequence

In a given sequence of numbers, each term after the first is obtained by multiplying the previous term by a constant value. If the first term is 3 and the common ratio is 2, what is the 6th term of the sequence?

The sequence can be defined by the formula:

$$a_n = a_1 imes r^{(n-1)}$$

where:

• $$a_n$$ = the n-th term of the sequence
• $$a_1$$ = the first term (which is 3)
• $$r$$ = the common ratio (which is 2)
• $$n$$ = the term number