It's evident that the first four terms are 4, 4/3, 4/9, and 4/27. So the fourth partial sum of the series is

It's as easy as adding up the fractions, but I bet this is supposed to be an exercise in taking advantage of the fact that the series is geometric and use the well-known formula for computing such a sum.
Multiply the sum by 1/3 and you have

Now subtracting this from

gives

That is, all the matching terms will cancel. Now solving for

, you
have


The surface area of a rectangular prism is measured by multiplying length, width, and height:
a = l•w•h
4 • 5 • 15
20 • 15 = 300
So the area of this rectangular prism is 300<span>in².</span>
Answer:
534.07?
Step-by-step explanation:
Answer:
(x, y) = (3, 5/2)
Step-by-step explanation:

I'll solve by elimination here. If you invert the second equation and add it to the first, 2y and -2y would cancel out.

Now just add those from top to bottom.

Nothing else needs to be done for that part. Now, you can pick either equation and use the known value of x to solve for y.

(x, y) = (3, 5/2)