All categories

3 years ago

Select the sequence that matches the recursive formula. a1 = 39 1n = an-1 -5.

Mathematics

2 answers:

mylen [45]3 years ago

6 0

Answer:

Option 2nd is correct

39, 34, 29, 24,....

Step-by-step explanation:

Given the recursive formula:

$a_1 = 39$

$a_n = a_{n-1}-5$

For n = 2

$a_2 = a_{2-1}-5$

⇒ $a_2 = a_{1}-5=39-5 = 34$

⇒ $a_2 = 34$

For n= 3:

$a_3 = a_{3-1}-5$

⇒ $a_3= a_{2}-5=34-5 = 29$

⇒ $a_3= 29$

For n = 4:

$a_4 = a_{4-1}-5$

⇒ $a_4= a_{3}-5=29-5 = 24$

⇒ $a_4= 24$ and so on....

We get the sequence:

39, 34, 29, 24,....

Therefore, the sequence that matches the recursive formula is, 39, 34, 29, 24,....

OlgaM077 [116]3 years ago

4 0

From what you wrote I can assume thad difference of sequence is equal to -5.
The only matching sequence for that recursive formula is the second one:
..., 34, 29, 24, ...

You might be interested in

The ratio of green beads to yellow beads in a bracelet is three to four. The total number of beads is 14. How many green beads a

Alja [10]

Answer:

There are 6 green beads there.

Step-by-step explanation:

This question can be solved by a system of equations.

I am going to say that:

x is the number of green beads

y is the number of yellow beads

The ratio of green beads to yellow beads in a bracelet is three to four.

This means that

$\frac{x}{y} = \frac{3}{4}$

$3y = 4x$

$y = \frac{4x}{3}$

The total number of beads is 14.

This means that $x + y = 14$

How many green beads are there ?

This is x.

$x + y = 14$

However

$y = \frac{4x}{3}$

$x + \frac{4x}{3} = 14$

Using multiplying by the gcm(3)

$3x + 4x = 42$

$7x = 42$

$x = 6$

There are 6 green beads there.

4 0

3 years ago

What are the solutions to the quadratic equ ton x2 – 16 = 0?

swat32

Answer:

x=4 and x=-4

Step-by-step explanation:

you dont really have to solve this one when you multiply the answer choices they should equal your B which is -16 and only 4 • -4 = -16 so yeah thats your answer

8 0

3 years ago

Suppose that the national average for the math portion of the College Board's SAT is 515. The College Board periodically rescale

nasty-shy [4]

Answer:

a) 16% of students have an SAT math score greater than 615.

b) 2.5% of students have an SAT math score greater than 715.

c) 34% of students have an SAT math score between 415 and 515.

d) $Z = 1.05$

e) $Z = -1.10$

Step-by-step explanation:

To solve this question, we have to understand the normal probability distribution and the empirical rule.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Empirical rule

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

$\mu = 515, \sigma = 100$

(a) What percentage of students have an SAT math score greater than 615?

615 is one standard deviation above the mean.

68% of the measures are within 1 standard deviation of the mean. The other 32% are more than 1 standard deviation from the mean. The normal probability distribution is symmetric. So of those 32%, 16% are more than 1 standard deviation above the mean and 16% more then 1 standard deviation below the mean.

So, 16% of students have an SAT math score greater than 615.

(b) What percentage of students have an SAT math score greater than 715?

715 is two standard deviations above the mean.

95% of the measures are within 2 standard deviations of the mean. The other 5% are more than 2 standard deviations from the mean. The normal probability distribution is symmetric. So of those 5%, 2.5% are more than 2 standard deviations above the mean and 2.5% more then 2 standard deviations below the mean.

So, 2.5% of students have an SAT math score greater than 715.

(c) What percentage of students have an SAT math score between 415 and 515?

415 is one standard deviation below the mean.

515 is the mean

68% of the measures are within 1 standard deviation of the mean. The normal probability distribution is symmetric, which means that of these 68%, 34% are within 1 standard deviation below the mean and the mean, and 34% are within the mean and 1 standard deviation above the mean.

So, 34% of students have an SAT math score between 415 and 515.

(d) What is the z-score for student with an SAT math score of 620?

We have that:

$\mu = 515, \sigma = 100$

This is Z when X = 620. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{620 - 515}{100}$

$Z = 1.05$

(e) What is the z-score for a student with an SAT math score of 405?

We have that:

$\mu = 515, \sigma = 100$

This is Z when X = 405. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{405 - 515}{100}$

$Z = -1.10$

3 0

4 years ago

Han and Tyler are following a polenta recipe that uses 5 cups of water for every 2 cups of cornmeal.

Aleonysh [2.5K]

Answer:

Step-by-step explanation:

1. 5 cups of cornmeal=2 cups of water. Using 115 cups of cormeal would mean you need 287.5 cups of water, not 3.

3 is too little

2: If you use 5 cups of water for every 3 cups of cornmeal, for 3 cups of cornmeal you'd need like 6.5 cups of water, not that high of a number.

5 0

4 years ago

Read 2 more answers

What is 38 percent of 22<br><br> (In percentage) :)

Leona [35]

Answer:

6.6%

Step-by-step explanation:

30% of 22 is 6.6%

Feel free to give brainliest.

Have an awesome day!

6 0

3 years ago

Read 2 more answers