Will give brainliest-what is the explicit rule for this geometric sequence? 2, 6, 18, 54, … an=3⋅2n−1 an=2⋅3n an=2⋅3n−1 an=3⋅2n

To find the explicit formula of geometric sequences, you'll need to find a formula for the nth term.

In symbols, the nth term of a geometric sequence is:  tn  =  a·rn-1.

a = first term     and     r = common ratio

To find the common ratio, divide any term by its preceding term.

Example:  2, 6, 18, 54, 162, ...

a = first term = 2

r = common ratio = 6/3 = 2 (this will be the same anywhere you begin:  162/54 = 3, 54/18 = 3, 18/6 = 3, etc.)

So, the explicit formula is:  tn  =  2·3n-1

Each explicit formula will have the exponent "n-1". 

The answer to your question would be; tn  =  2·3n-1. 

Hope this helped. 

tangent

step-by-step explanation:

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