Question

Find the term to term rules for the following sequence- 2,6,18,54,162

Answer 1

Answer:

$a_n=2*3^{n-1}$

Step-by-step explanation:

The formula for a geometric sequence is $a_n=a_1*r^{n-1}$ where $a_n$ is the $n$th term of the sequence, $a_1$ is the first term, and $r$ is the common ratio.

Since each term is being multiplied by 3, this is our common ratio.

Therefore, our geometric sequence formula is $a_n=2*3^{n-1}$

Answer 2

Answer:

Essentially, to find the next term in this sequence, the number must be multiplied by 3.

So, the term to term rules for this sequence would be N x 3