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sleet_krkn [62]
3 years ago
9

How do you prove that infinite sequences converge? For example how did someone prove that 1 + 1/4 + 1/9 + 1/16 + 1/25 ..... conv

erges to π^2/6. Can someone explain how people do this, and the process to discovering whether or not infinite sequences diverge or converge? An answer fully explaining the process, that is also fairly clear will receive a brainiliest.
Mathematics
1 answer:
dem82 [27]3 years ago
4 0

Answer:Prove that for any nonzero natural

n

it is true that

Sn=1+1/4+1/9+1/16+1/25+1/2<2

I'm sort of at a loss here. I'm not sure if there exists some formula or method to sum this kind of series, since there is a variable ratio…

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* Required
Furkat [3]
B. 19.8

Use the Pythagorean theorem:
14.2^ + x^ = 24.4^
201.64 + x^ = 595.36
x^ = 393.72
x = 19.84
8 0
3 years ago
What is 20 percent of 90?​
ivolga24 [154]

Answer:

18

Step-by-step explanation:

5 0
3 years ago
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The area of a triangle is 1440cm^2 the base of tge triangle is 5 times the height of the triangle
Oduvanchick [21]
What should we find...
Probably base and the height...

Area = 1440cm²

base = 5×height

base = 5h

Area of triangle = base × height

1440 = 1/2 × 5h × h

1440 = 5h²/2

5h² = 2880

h² = 2880/5

h² = 576

h=24cm..

Height = 24cm

Since base = 5h

Base = 5×24

Base = 120cm...

Hope this helped....

Base =
4 0
3 years ago
Jason draws a line in the sand at the beach the line is 7/8 feet long he wants to divide the line into sections that are 1 8 fee
abruzzese [7]
The answer is 7 sections
In this type of question, you just need to divide the total length of the line that drawn by Jason with the length of sections that Jason want.

So, the calculation would be:

(7/8) / (1/8)

= 7/8  x 8/1

= 7 amount of sections
4 0
3 years ago
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Do y'all know the answers to these, they so confusing even if I look up videos on it plz help asap
Brrunno [24]
I'm not going to give you the answer, but I'm going to give really obvious hints to you.
Supplementary angles are when two angles add up to 180 degrees.
Complimentary is when two angles add up to 90 degrees.
I'm not sure how you find angles m<y and m<v, I can't even see the letter m on the attachment.
There are two angles that are adjacent to <GXF, and you are free to choose which ever ones you like: <FXE and <CXG

4 0
3 years ago
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