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Allisa [31]
3 years ago
9

Determine if each sequence is arithmetic, geometric, or neither.

Mathematics
1 answer:
Len [333]3 years ago
7 0

9514 1404 393

Answer:

  • geometric
  • arithmetic
  • neither (Fibonacci sequence)

Step-by-step explanation:

If ratios are the same, it is geometric:

  8/4 = 16/8 = ... = 2

If differences are the same, it is arithmetic:

  -4-(-8) = 0 -(-4) = ... = 4

If neither is the case, it is neither:

  3-2 ≠ 5 -3

  3/2 ≠ 5/3

In this last sequence we see that differences equal the previous term. This is characteristic of the Fibonacci sequence, which sees wide use in Nature, and has a relationship to the Golden Ratio. (The ratios of successive terms approach the golden ratio (1+√5)/2 ≈ 1.618.)

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A bowl has only red, green, and purple grapes. The probability of picking a red grape out of the bowl, eating it, and then picki
Xelga [282]

The probability of picking a green grape is 1/2.

<h3>What is probability?</h3>

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.

Since the probability of picking a red grape out of the bowl, eating it, and then picking a green grape out of the bowl is 1/8 and probability of picking just a red grape is 1/4 .

The probability of green grape will be the division. This will be:

= P(R and G) / P(R)

= 1/8 ÷ 1/4

= 1/8 × 4/1

= 1/2

The probability is 1/2.

Learn more about probability on:

brainly.com/question/24756209

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8 0
1 year ago
For f(x)=√(2x+1) , find the following:
Wittaler [7]

Part a.

The domain is the set of x values such that x \ge -\frac{1}{2}, basically x can be equal to -1/2 or it can be larger than -1/2. To get this answer, you solve 2x+1 \ge 0 for x (subtract 1 from both sides; then divide both sides by 2). I set 2x+1 larger or equal to 0 because we want to avoid the stuff under the square root to be negative.

If you want the domain in interval notation, then it would be \Big[ -\frac{1}{2} , \infty \Big) which means the interval starts at -1/2 (including -1/2) and then it stops at infinity. So technically it never stops and goes on forever to the right.

-----------------------

Part b.

I'm going to use "sqrt" as shorthand for "square root"

f(x) = sqrt(2x+1)

f(10) = sqrt(2*10+1) ... every x replaced by 10

f(10) = sqrt(20+1)

f(10) = sqrt(21)

f(10) = 4.58257569 which is approximate

-----------------------

Part c.

f(x) = sqrt(2x+1)

f(x) = sqrt(2(x)+1)

f(x+2a) = sqrt(2(x+2a)+1) ... every x replaced by (x+2a)

f(x+2a) = sqrt(2x+4a+1) .... distribute

we can't simplify any further

6 0
3 years ago
Muffins cost $3.00 per dozen.
GenaCL600 [577]

Answer:

I agree with both of them

Step-by-step explanation:

A dozen is 12 muffins. Therefore, you pay $3.00 for 12 muffins.

We know that you pay $3.00 for 12 muffins we need to find out how much EACH muffin cost. For that we need to divide $3.00 by 12 which is 0.25.

Now we need to know how much it will cost us for 16 muffins. We use our equation 16*0.25 which is 4. Elena said she will pay 4 so she is right.

Andre said he will buy 8 muffins so we use our equation again 8*0.25 which is 2. He said he will pay 2 so he is right.

5 0
3 years ago
Write expressions that represent the horizontal and vertical side lengths of the triangle.
lisov135 [29]

Answer: 9.5, 7

9.5 , 8.5

Step-by-step explanation:

5 0
3 years ago
three african elephants can weigh a total of 13,500 pounds. at this rate, how many do 2 african elephants weigh?
lidiya [134]

Answer:

Step-by-step explanation:

13500/3 = 4500

4500 x 2 = 9000

7 0
3 years ago
Read 2 more answers
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