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Finger [1]
3 years ago
12

Calculate the sum of the series whose partial sums are given.

Mathematics
1 answer:
aleksley [76]3 years ago
7 0
When we calculate the sum of the series C∞, n=1 ∑ an
whose partial sums are given
sn = 2 − 9(0.9)ⁿ
We can get an answer which is 2.
It has an infinite number of terms, the infinite series. The partial sum is the sum of the first n terms, Sn. The answer in this question is 2.
You might be interested in
The net of a rectangular prism is shown below. What is the total surface area of the rectangular prism represented by this net?
Finger [1]

Answer:

150.88 cm²

Step-by-step explanation:

A rectangular prism also known as cuboid is a three dimensional object with six rectangular faces and eight vertices. It is a prism because it has the same cross section along the length. It is called a rectangular prism because its cross section is rectangular.

The opposite faces of a rectangular prism are equal to each other.

The total surface area (TSA) of a rectangular prism is:

TSA = 2(wl + wh + lh)

where w is the width of the base, l is the length of the base and h is the height of the prism.

From the question, we can see that:

w = 5 cm, l = 7.4 cm and h = 3.1 cm. therefore:

TSA = 2(wl + wh + lh) = 2[(5 * 7.4) + (5 * 3.1) + (7.4 * 3.1)] = 2(37 + 15.5 + 22.94)

TSA = 2(75.44)

TSA = 150.88 cm²

3 0
3 years ago
The sum of three decimal numbers is 6. Exactly one of the numbers is less than 1. What could the numbers be?
shutvik [7]
Let the numbers be x,y, and z

x+y+z=6

x< 1

The answer may vary which are 3.3, 2.2 and.5.



8 0
3 years ago
Jared wants to paint his room. The dimensions of the room are 12 feet by 15 feet, and the walls are 9 feet tall. There are two w
nalin [4]

Answer:

1 ft = 12 in

1 in = (1/12) ft

30 in = (30/12) ft

30 in = 5/6 ft

The area of the surface that Jared needs to paint is:

2(12*9 + 15*9) - 2(5*6 + (5/6)*6) = 416 ft^2

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
How to simplify the following expression<br> 34x-(25x-3)-18
PilotLPTM [1.2K]

Answer: 9x-15

Step-by-step explanation:

Given

34x-(25x-3)-18

Expand parenthesis

34x-25x+3-18

Put like terms together

(34x-25x)+(3-18)

Combine like terms

9x-15

Hope this helps!! :)

Please let me know if you have any questions

4 0
3 years ago
A small plane has 20 rows of seats. Each row has 4 seats.
ch4aika [34]

Answer:

the total number of seats on the plane

Step-by-step explanation:

3 0
3 years ago
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