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Vlad1618 [11]
3 years ago
13

Can an infinite arithmetic series ever converge?

Mathematics
1 answer:
kifflom [539]3 years ago
4 0
An arithmetic series never converges: as \(n\) tends to infinity, the series will always tend to positive or negative infinity. Some geometric series converge (have a limit) and some diverge (as \(n\) tends to infinity, the series does not tend to any limit or it tends to infinity).
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Finding side of right triangle when you know the hypotenuse and one side
STALIN [3.7K]
By Pythagoras theorem, as
(hypotenuse)^2=( one side)^2 + (other side)^2


hope it helps u
8 0
3 years ago
Maggie constructs a triangle with sides lengths 7 centimeters long and 10 centimeters long.
MakcuM [25]

7 centimeters is a possible length for the third side ⇒ B

Step-by-step explanation:

Let us revise the triangle Inequality Theorem

  • The sum of the lengths of any 2 sides of a triangle must be greater than the length of the third side
  • To prove that by easy way add the smallest two sides, if their sum greater than the third side,then the sides can form a triangle

Assume that the length of the third side is x cm

∵ The length of two sides are 7 cm and 10 cm

∵ The length of the third side is x cm

- Put the sum of x and 7 greater than 10 ( x and 7 are the smallest sides)

∴ x + 7 > 10

- Subtract 7 from both sides

∴ x > 3

- Put the sum of 7 and 10 greater than x (7 and 10 are the smallest sides)

∵ 7 + 10 > x

∴ 17 > x

∴ x < 17

- By using one inequality for x (combined the two inequalities in one)

∴ 3 < x < 17

That means the length of the third side is any number between 3 and 17

There is only one answer between 3 and 17

∵ 7 is between 3 and 17

∴ The length of the third side could be 7 cm

7 centimeters is a possible length for the third side

Learn more:

You can learn more about triangles in brainly.com/question/4599754

#LearnwithBrainly

7 0
3 years ago
Is 1/4 rational or irrational?
Leokris [45]
It is rational because it can be represented by p/q form where p and q are whole number
4 0
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Read 2 more answers
Write the quadratic equation with the given roots 3 and -2/3
trapecia [35]

<em>Answer: </em>

<em>y  =  </em>x^{2}<em> −  7  x  3  − 2</em>

<em />

<em>Step-by-step explanation:</em>

<em>you gotta work backwards to find the factors from the roots then multiply the factors together.</em>

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3 years ago
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Is this your ans of question

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3 years ago
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