Find the explicit formula for the geometric sequence
2,6,18,54

the explicit formula for the geometric sequence  2,6,18,54 is

2,6,18,54

Step-by-step explanation:

In the sequence given: 2,6,18,54

The common ration is 3 because

a₁ = 2

a₂= 2*3 =6

a₃ = (2*3)*3 = 2*3^2 = 18

a₄= (2*3*3)*3 =2*3^3 = 54

Here we see for a₂ 3 has power 1, for a₃ 3 has power 2 and so on.

So, the formula will be

Here aₙ is the no of term.

a₁ is the first term of the sequence

and r is the common ratio among the sequence.

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step-by-step explanation:

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