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FromTheMoon [43]
3 years ago
7

Which of the following is an infinite series?

Mathematics
1 answer:
Brut [27]3 years ago
4 0
<h3>Answer: Choice C)  2 - 6 + 18 - 54 + ...</h3>

Explanation:

The three dots or ellipses indicate the pattern goes on forever to infinity. So the answer is between choices A and C based on this alone. Choice A is a sequence while choice C is a series. A sequence is simply a list of values often in some kind of mathematical pattern. A series is where you add values from a sequence together. This distinction rules out choice A and makes choice C the answer.

Note: choice C is a geometric series with first term 2 and common ratio -3. The infinite series diverges because r = -3 is outside the range -1 < r < 1.

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*I just learned that in probability if a question has 'and' it means you multiply and if it has 'or' it means you add*

1a) 1/6

There are two numbers greater than four (5 and 6). There are 6 possible numbers you can get, so the fraction would be 2/6, or simplified would be <u>1/3</u>. There are two options you can get when flipping a coin, so the chance of getting a head is <u>1/2</u>. This is an 'and' problem so multiply 1/3•1/2 and you get 1/6.

1b) 1/4

There are 3 even numbers (2, 4, and 6), so the probability would be 3/6 or simplified to <u>1/2</u>. The chance of landing on a tail is also <u>1/2</u>, as there are two possible options. This is an 'and' problem so multiply 1/2•1/2 and you get 1/4.

2) 1/8

Write out your possible results: HHH, HHT, HTH, THH, HTT, THT, TTH, TTT.

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