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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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yKpoI14uk [10]

The Chevrolet will go farther

Because the Chevy has more gas and miles.

8 0
3 years ago
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Hi! How do you solve this? Step by step??
Mars2501 [29]

Answer:

30

Step-by-step explanation:

Substitue 3 for every x in the equation

10(3)-(3*3)(2*3)+(3)^2(2*3)

Multiply

30-(9)(6)+9(6)

30-54+54=30

7 0
3 years ago
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Consider the sequence: 3, 8, 13, 18, 23, ...The recursive formula for this sequence is:an = an-1 + 5In a COMPLETE sentence, expl
Akimi4 [234]

Answer:

a_8=38

Step-by-step explanation:

<u>Recursive sequence </u>

In a recursive sequence formula, each term a_n is computed as a function of one or more previous terms. In the formula

a_n=a_{n-1}+5

n is the number of the term we want to calculate. If n=8, then the formula becomes

a_8=a_{7}+5

We can see a_{n-1} is the previous term. It means we need a_7 to be able to compute a_8. But we also need a_6 to compute a_7 and so on until some known data is reached. The question provides five terms, a_5=23.

a_6=a_5+5=28

a_7=a_6+5=33

a_8=a_7+5=38

a_8=38

4 0
3 years ago
Help please help please help please
user100 [1]

Answer:

Once upon a time, there were a two person family who lived out in the woods. The father took great care of the son. The father was a Botany, but had retired because of his age. But still he loved plants and grew a garden. The garden included Giant Bird of Paradise, Carnations, Irises, and ofc roses. He loved plants so much that he went out to dig a hole and plant different  flowers and plants every spring. When the son grew older he helped the father with the garden. Two years later his son was accused of murder, but the body wasn't found. Next spring came and the father went out to dig. He couldn't Finnish it. He called his son and say he couldn't do the garden thing, because of his age. The son said don't dig there that's where he hid the bodies. The police came to dig the holes and try to find the bodies, but none of them were found. The father called the son again, and the son said thats all I can do for you right now.

Step-by-step explanation:

3 0
3 years ago
Calculate 32 percent of 133
Rasek [7]
0.32 x 133
=42.56
:) hope that helps
3 0
3 years ago
Read 2 more answers
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