Number pattern 1,1,2,6,24,120

Answers

Answer 1

Answer: you are multiplying every time one more for example 1×2 equals 2 and 2×3 equals 6 and 6×4 equals 24 and 24×5 equals 120 i hope that i helped you.

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Determine whether the sequence converges or diverges. If it converges, give the limit. 48, 8, four divided by three, two divided by nine, ...

Answers

The sequence is decreasing so it is r<1, therefore it is converging

This is the formula for how to find the sum/limit of the convergence (or how to find a infinite geometric sequence): a1/(1-r)

a1=48

r=8/48=.167

Verifying r:

a1/r=48*.167=8.016=8

a1/r^2=48*.167^2=1.338672=1.34

4/3=1.33

(close enough)

Putting it into equation:

a1/(1-r)=48/(1-.167)=48/.833=57.62304922

Answer Choices:

A. Converges; 288/5

B. Converges; 0

C. Diverges

D. Converges; -12432

288/5=57.6

ANSWER IS A. Converges; 288/5

48, 8 , 4/3,2/9

note that each term after the first one is calculated by multiplying the previous on by 1/6. The sequence converges

Limit = a1 / (1 -r) = 48 / ( 1- 1/6) = 57.6 or 57 3/5

(2a2 + a + 3) ÷ (a - 1)

Answers

Final answer is: 5a+3/a-1

Answer: 5a+3/a-1

Key: “/“ is a fraction bar
Key: 5a+3 is the numerator
Key: a-1 is the denominator

Hope this helps! <3

A basketball player is shooting free throws blindfolded. He shoots in groups of 4 shots. Assume that it is equally likely that he will hit or miss a shot. Design and do a simulation to determine the probability that he will hit at least 75% of his shots within the groups. (Hint: Use coins.)

Answers

Let H represent hit and M represent miss, Then sample space

MMMM, MMMH, MMHM, MHMM, HMMM, MMHH, MHMH, HMMH, MHHM, HMHM, HHMM, MHHH, HMHH, HHMH, HHHM, HHHH

He hit at least 75% in 5 occasions.

Therefore, P(hit at least 75%) = 5/16

Answer:

Use 4 coins. Let heads = hit and tails = miss. Toss each coin and record the results in a table. Coin 1Coin 2Coin3Coin 4Set 1HHHHSet 2HTHHSet 3HHTHSet 4THTTSet 5

Repeat the coin tosses until you have recorded 50 sets of 4 tosses each. b. Count the successful outcomes—those with three or four heads. Coin 1Coin 2Coin3Coin 4SuccessSet 1HHHHxSet 2HTHHxSet 3HHTHxSet 4THTTSet 5

Step-by-step explanation:

Write each expression in radical form and simplify.

Answers

Answer:

The expressions in the image are:

(-1)^(1/3)

27^(1/3)

In radical form, these expressions can be written as:

The cube root of -1, which simplifies to -1.

The cube root of 27, which simplifies to 3.

So, the simplified expressions are -1 and 3 respectively.

Step-by-step explanation:

~~~~~WDFADS~~~~~

If y = 2x+ 3, find the value of y when x = 5

Answers

♥ y = 2x+ 3
♥ If X=5 then we can replace this.
♥ 2*5+3=13
♥Therefore y=13

y = 2 ( 5 ) + 3 ⇒ y = 13 :)))

How can i simplify the square root of 49x^8?

Answers

The simplifiedform of the square root of 49 $x^8$ is 7 $x^4$ .

We have,

To simplify the squareroot of 49 $x^8$ , we can break it down using the properties of square roots.

First, we can simplify the squareroot of 49, which is 7, since the square root of a perfect square is an integer.

Next, we can simplify the square root of $x^8$ .

We can rewrite $x^8$ as ( $x^4$ )².

Then, we can take the squareroot of $x^4$ , which is x².

Thus,

The simplifiedform of the square root of 49 $x^8$ is 7 $x^4$ .

Learn more about expressions here:

brainly.com/question/3118662

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The square root of 49 is 7, since 7*7 is equal to 49. and i don't know what u mean by "^". but if u mean the square root of 49, which is 7, multiplied by 8; then that's 56.

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To get an A, you need more than 200 points on a two-part test. You score 109 points on thefirst part. How many more points do you need?

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