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Find the term to term rules for the following sequence-

2,6,18,54,162


Sagot :

Answer:

[tex]a_n=2*3^{n-1}[/tex]

Step-by-step explanation:

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

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

Therefore, our geometric sequence formula is [tex]a_n=2*3^{n-1}[/tex]

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