Find the Indacated term for the geometic sequence with the tirst term $$ a 1 $$, and the common ratio $$ r $$ find as when $$ a 1=4, r=3 $$

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To find the indicated term of a geometric sequence, we can use the formula for the $$ n $$-th term of a geometric sequence, which is given by:

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

where:
- $$ a_n $$ is the $$ n $$-th term,
- $$ a_1 $$ is the first term,
- $$ r $$ is the common ratio,
- $$ n $$ is the term number.

In your case, you have:
- $$ a_1 = 4 $$
- $$ r = 3 $$

To find a specific term, you need to specify the value of $$ n $$. For example, if you want to find the 5th term ($$ n = 5 $$), you would calculate:

$$
a_5 = 4 \cdot 3^{(5-1)} = 4 \cdot 3^4
$$

Calculating $$ 3^4 $$:

$$
3^4 = 81
$$

Now substituting back:

$$
a_5 = 4 \cdot 81 = 324
$$

So, the 5th term of the sequence is $$ 324 $$.

If you have a different term number in mind, just replace $$ n $$ in the formula with your desired term number and calculate accordingly.
To find the $$ n $$-th term of a geometric sequence with $$ a_1 = 4 $$ and $$ r = 3 $$, use the formula $$ a_n = 4 \cdot 3^{(n-1)} $$. For example, the 5th term is $$ 324 $$.

Find the Indacated term for the geometic sequence with the tirst term \( a 1 \), and the common ratio \( r \) find as when \( a 1=4, r=3 \)

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