If

denotes the sum of the first

terms of a geometric series with first term

and common ratio

, then





Using summation notation, you have

In this case, you have

,

, and

. So the value of the sum is

Rounded to the nearest whole number, the answer would be 3.
Answer:
(6, 840) (5, 700) (3, 420) (4, 560)
Step-by-step explanation:
Use the one point that is completely filled out, (6, 840). Divide 840 by 6 and you get 140 so that is the slope. 5x140= what the y intercept will be, 700. 420/140= what the x intercept will be, 3. Now you can see a pattern which helps check your work. They are all decreasing pretty much, not really ordered much but. And finally the last point 4x140=560. Hope that helps! :)
Answer:
The area of the rectangle is 12 cm² (to two significant figures)
Step-by-step explanation:
To determine the area of a rectangle that is 2.1-cm wide by 5.6-cm long,
The area of a rectangle is given by
Area = l × w
where l is the length
and w is the width
From the question,
l = 5.6 cm
and w = 2.1 cm
Hence, Area of the given rectangle will be
Area = 5.6 cm × 2.1 cm
Area = 11.76 cm²
Now, we will convert the answer to two significant figures
Then,
Area = 12 cm²
Hence, the area of the rectangle is 12 cm² (to two significant figures)
Reduce each ratio to its minimum expression to find if they are equal.
35:28

10:8

Since both ratios reduce to 5:4, they are equivalent.
Another way to check a:b is equivalent to c:d, is that a*d = b*c
In this case, this will be true if 35 times 8 is equal to 10 times 28:

Since both products are equal, then the ratios are equivalent.