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Lyrx [107]
3 years ago
9

Does the following infinite series converge or diverge? 1/3+2/9+4/27+8/81

Mathematics
2 answers:
Norma-Jean [14]3 years ago
8 0

Answer:

converge

Step-by-step explanation:

The ratio that you multiply by to get the next term is 2/3, which is less than 1, so the geometric series converges by the Geometric Series Test.

Lynna [10]3 years ago
3 0

Answer:

Converge

Step-by-step explanation:

The value of r in this infinite series is 2/3.

If the absolute value of r is less than 1, then the infinite series converges.

Since 2/3 is less than 1, the series must converge.

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Ivan

Answer:

x+y+z=15

x+2y+5z=15

-x+y+z=1

Step-by-step explanation:

4 0
3 years ago
8x - 5y = -6<br> 6x + 2y = -16
omeli [17]

Answer:

both x and y are -2 in this case

5 0
3 years ago
If points a,b,c,d and ,e are collinear and in that order. Find AC if AE = x+50 and CE=x+32
Alla [95]
By the segment addition postulate,
AC + CE = AE so AC = AE - CE
AC = (x+50) - (x+32)
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7 0
4 years ago
Read 2 more answers
Pete is choosing his clothes for the day. His bottoms will be either cargo shorts(C) or jeans (J). His top will be T shirt (T),
Sauron [17]

The question is incomplete. Here is the complete question.

Pete is choosing his clothes for the day. His bottoms will be either cago shorts (C) or jeans (J). His top will be T-shirt (T), sweatshirt (S) or long sleeved shirt (L).

Which is a complete list of the possilbe outfits he can choose from?

CT, CS, CL, JT, JS, JL

CJ, CT, CS, CL

CJT, CJS, CJL

CT, TC, JS, SJ, CL, LC

Answer: CT, CS, CL, JT, JS, JL

Step-by-step explanation: The <u>Fundamental</u> <u>Counting</u> <u>Principle</u> is a method of determining a number of ways independents events can occur, i.e., it states that if there are t ways of doing something and w ways of doing another, then there are t x w ways of doing both things.

For example:

Peter has 2 choices of bottom and 3 choices of top. So, according to the principle, he will have 2 x 3 choices of clothing.

And the choices are:

shorts and t-shirt = CT

shorts and sweatshirt = CS

shorts and long sleeved = CL

jeans and T-short = JT

jeans and sweatshirt = JS

jeans and long sleeved = JL

The order he chooses doesn't matter.

So, the right alternative is CT, CS, CL, JT, JS, JL.

7 0
3 years ago
PLEASE HALP MEEEEEEE<br><br><br><br> what is 50% of 4 ?
olganol [36]

Answer:

equal to 2

Step-by-step explanation:

50% is the same as 1/2 of 4

8 0
3 years ago
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