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xxTIMURxx [149]
3 years ago
13

Dont need awnser just explain

Mathematics
2 answers:
Alona [7]3 years ago
6 0
What’s the question?
Luda [366]3 years ago
6 0

Answer:

i am just standing here

Step-by-step explanation:

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A.Find a formula for
Vlada [557]

a. Notice that

1/(1*2) = 1/2 = 1 - 1/2

1/(2*3) = 1/6 = 1/2 - 1/3

1/(3*4) = 1/12 = 1/3 - 1/4

and so on, which suggests the n-th term of the sum can be written as

\dfrac1{n(n+1)}=\dfrac1n-\dfrac1{n+1}

Then the sum itself is telescoping:

\dfrac1{1\cdot2}+\dfrac1{2\cdot3}+\dfrac1{3\cdot4}+\cdots+\dfrac1{n(n+1)}

=\left(1-\dfrac12\right)+\left(\dfrac12-\dfrac13\right)+\left(\dfrac13-\dfrac14\right)+\cdots+\left(\dfrac1n-\dfrac1{n+1}\right)

=1-\dfrac1{n+1}

b. The proof is trivial:

\dfrac1n-\dfrac1{n+1}=\dfrac{n+1}{n(n+1)}-\dfrac n{n(n+1)}=\dfrac{n+1-n}{n(n+1)}=\dfrac n{n+1}

so the formula found in (a) is correct.

5 0
3 years ago
What is the length of the segment with endpoints A(1,7) and B(-3, -1)?
kap26 [50]

Answer:

d = \sqrt{80} = 8.94

Step-by-step explanation:

We can find the distance using the distance formula:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

We then substitute (1,7) as (x_1,y_1) and (-3,-1) as (x_2,y_2).

d=\sqrt{(-3-1)^2+(-1-7)^2} \\d=\sqrt{(-4)^2+(-8)^2} \\d=\sqrt{16+64}\\d=\sqrt{80}=8.94

5 0
3 years ago
Read 2 more answers
Which decimal has the greater value: 8,516.50 or 8,516.90?
lianna [129]
8,516.90 has a greater value than 8,516.50 because .90 is closer to 1.00 than .50 is 
i hope this helps
6 0
3 years ago
Read 2 more answers
I need help ASAP pls
Kruka [31]

Answer:

(D) y = 75x ... hope that helps!

6 0
3 years ago
The perimeter of a rectangle is 126cm. The rectangle is twice as long as it is wide. What are
RSB [31]

Answer:

the length is 31.5 and the width is 15.75

Step-by-step explanation:

6 0
3 years ago
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