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2 years ago

A recursive rule for a geometric sequence is

Mathematics

1 answer:

LuckyWell [14K]2 years ago

5 0

Answer:

C. $a_n=(9)(\frac{2}{3})^{n-1}$

Step-by-step explanation:

Iterative geometric sequence:

$a_n=a_1x^{n-1}$

Recursive geometric sequence:

$a_n=xa_{n-1}$

The equations are very similar and you only really need to rearrange it. The factor (2/3) and the first term (9) are given, so you can write the iterative equation:

$a_n=(9)(\frac{2}{3})^{n-1}$

And so the answer is C.

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Alberto’s monthly income is $3,200. Part of Alberto’s monthly budget is shown in the table.

Sladkaya [172]

Using the percentage concept, it is found that 40% of Alberto’s income is used to pay for his rent and groceries.

<h3>What is a percentage?</h3>

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

$P = \frac{a}{b} \times 100\%$

In this problem:

Alberto’s monthly income is $3,200, hence b = 3200.

He spends 896 + 384 = $1280 in rent and groceries, hence a = 1280.

Then, the percentage is given by:

$P = \frac{1280}{3200} \times 100\% = 40\%$

More can be learned about the percentage concept at brainly.com/question/10491646

7 0

2 years ago

20 This spinner will be spun twice. What is the probability of

natali 33 [55]

Answer: the probability is 0.25

Step-by-step explanation:

We have 10 numbers:

0, 1, 2, 3, 4, 5, 6, 7, 8, 9

Of those, the odd ones are:

1, 3, 5, 7, 9

So we have 5 odd numbers.

The probability that the outcome is an odd number is equal to the number of odd numbers divided the total number of numbers:

p = 5/10 = 0.5

For the second spin the probability is the same, p = 5/10, because the first outcome does not affect the results of the second spin.

The probability of spining an odd number both times, then is the joint probability for two times this same event:

P = (5/10)(5/10) = 0.5*0.5 = 0.25

or 25% in percent form

3 0

3 years ago

A social scientist wishes to conduct a survey. She plans to ask a yes/no question to a random sample from the U.S. adult populat

agasfer [191]

Answer:

The sample proportion from the sample of 900 is more likely to be close to the true population proportion, p.

Step-by-step explanation:

for the first one

6 0

3 years ago

Read 2 more answers

A line passes through the point (-8, -3) and has a slope of -3/2

rjkz [21]

Answer:

this is the answer

Step-by-step explanation:

hope it helped!!!

4 0

3 years ago

Which pair of numbers has a GCF of 3? Group of answer choices (A) 3 and 18 (B) 8 and 24 (C)12 and 18 (D) 1 and 3

Arte-miy333 [17]

Answer:

A, B and C

Step-by-step explanation:

A) 3 and 18 = has 3 as factor

B) 8 and 24 = has 3 as factor

C) 12 and 18 = has 3 as factor

D) 1 and 3 = has as factor of 1 and 3

so the answer is A, B and C

5 0

3 years ago