The general term for the sequence 3,9,27,81,243, is

Step-by-step explanation:

We have the following sequence

3,9,27,81,243

Note that if you divide each term of the sequence between the previous term you get:

then the radius of convergence of the series is r.

therefore this is a geometrical series.

The formula to find the general term of the geometric sequence is:

Where

is the first term of the sequence

Then the general term for this sequence is:

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?