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Afina-wow [57]
3 years ago
7

For a Geometric Series explain how you can tell if the series converges or diverges as you keep adding an infinite number of ter

ms to the series. Be sure that your explanation is clear on what it means to converge or diverge. Show using an example(s).
Mathematics
1 answer:
Sav [38]3 years ago
8 0
It will converge if the common factor  r  is between 0 and 1.
For example:-
 A GS with  first term a1 = 2  and d = 1/2,   the  terms are:-

2 , 1 , 1/2, 1/4, 1/8,1/16 and so on

Each term gets smaller and smaller and they will become very small - close to 0.   The sum will converge to a certain value also.
In this case it will converge to  2 /( 1 - 1/2) = 4

If d > 1  the terms will increase without bounds and the sum gets bigger and bigger . The series  diverges.

for example  2, 8, 32, 128, 512 ....  where a1 = 2 and d = 4.
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The larger of two numbers is 15 more than 3 times the smaller number. If the sum of the two numbers is 63 find the numbers
scoray [572]

Answer:

X = 51

Y = 12

Step-by-step explanation:

2 numbers: (Larger) Number 1 is x and Number 2 is y

The equation is x + y = 63

  • x = 3y +15
  • y = y

New equation is:

  • 3y + 15 + y = 63

Combine like variables:

  • 4y + 15 = 63

Solve:

  • 4y + 15 - 15 = 63 - 15
  • 4y = 48

Divide 4 from each side:

  • <em><u>y = 12</u></em>

To find x fill in the variables from the 'x =' equation:

  • x = 3y + 15
  • x = 3( 12) + 15
  • <em><u>x = 51</u></em>
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43k is an example of what? A. monomial B. binomial C. trinomial D. equation?​
Mariana [72]
The answer would be b
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Use a unit circle and 30°-60°-90° triangles to find the degree measures of the angle.
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Answer:

its B

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