Given that the sum of the first n terms of the provided series is 6560 determine the value of n (2,6,18,54.)

n = 8

Step-by-step explanation:

The given sequence, 2, 6, 18, 54. . ., is a geometric sequence.

It has a common ratio of 3 =>

Thus, the sum of the first n terms of a geometric sequence is given as

Where,

= first term of the series = 2

r = common ratio = 3

= sum of the first n terms = 6,560

Plug in the above values into the formula

Multiply both sides by -1

Subtract 1 from both sides

Evaluate

3 cancels 3

The value of n = 8

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?