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4 years ago

What is the explicit formula for the geometric sequence with this recursive formula?

Mathematics

2 answers:

Vedmedyk [2.9K]4 years ago

7 0

Answer:

A an = -3 * (1/8) ^ (n-1)

Step-by-step explanation:

We know the first term a1 = -3

And the common ratio r = 1/8 from the an = an-1 * 1/8

The explicit formula is

an = a1 r^ (n-1)

an = -3 * (1/8) ^ (n-1)

Alex17521 [72]4 years ago

6 0

Answer:

Step-by-step explanation:

a₁ = -3 ------> first term

r ----> common ratio

$a_{n}=a_{n-1}*\frac{1}{8}\\\\r=\frac{1}{8}\\\\a_{n}=a_{1}*r^{n-1}\\\\a_{n}=-3*(\frac{1}{8})^{n-1}$

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the result of an experiment was 117.755 particles per milliliter. write the decimal as a mixed number.

nordsb [41]

The result of experiment in mixed fraction form is $117\frac{151}{200}$ particles per milliliter.

<h3>What is the result of the experiment in mixed fraction form?</h3>

To convert decimal to fraction, we the decimal number over 1 and multiply both the numerator and denominator by power of 10.

Given the data in the question;

Result of experiment in decimal form = 117.755
Result of experiment in mixed fraction form = ?

In 117.755, we have 3 numbers to the right of the decimal point.

We have 10³ which is the same as 1000.

$\frac{117.755}{1} * \frac{1000}{1000}\\\\\frac{117755}{1000}$

Next, we divide both the numerator and the denominator with their Greatest Common Factor.

Greatest Common Factor of 117755 and 1000 is 5

$\frac{\frac{117755}{5} }{\frac{1000}{5} } = \frac{23551}{200}$

Now, we can get 200 out of 23551 exactly 117 times, since what remained is not divisible by 200, we leave it as a remainder [151].

We can now write this in a mixed fraction form as;

$117\frac{151}{200}$

Therefore, the result of experiment in mixed fraction form is $117\frac{151}{200}$ particles per milliliter.

Learn more about fractions here: brainly.com/question/10354322

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6 0

2 years ago

Question 4 pleeeeease help

LiRa [457]

It should be B because it is the only one with a negative sign. The first one is not a slope problem.

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3 years ago

Triangle XYZ is reflected about the y-axis. What are the coordinates of X’?

Dominik [7]

Just flip the signs of co-ordinates by using formula y=>-y

Make sure to do this with y only as it has been reflected to y axis

$\\ \ast\bull\rm\longmapsto Z(-5,-4)\implies Z'=(-5,-(-4))\implies Z'=(-5,4)$

$\\ \ast\bull\rm\longmapsto Y(-3,-4)\implies Y'=(-3,-(-4))\implies Y'=(-3,4)$

$\\ \ast\bull\rm\longmapsto X(-5,-1)\implies X'=(-5,-(-1))\implies X'=(-5,1)$

8 0

3 years ago

Read 2 more answers

How do you use the fundamental counting principle?

qaws [65]

In the fundamental counting principle, you are multiplying to get the total number of possibilities as a result. For example, if you have 5 different types of bread, 8 types of cheese, and 6 types of meat, you have 240 choices (8 x 6 x 5).

7 0

4 years ago

. A pitcher’s mound on a women’s softball field is 43 feet from home plate and the distance between the bases is 60 feet. How fa

butalik [34]

Answer:

42.43 ft

Step-by-step explanation:

Please find attached an image of the softball pitch

h² = p² + f² -2x p×f×cos45

h² = 43² + 60² - 2x (43)(60) x 0.7071

h² = 1849 + 3600 - 3648.636

h² = 1800.364

h = √1800.364

h = 42.43 feet

8 0

3 years ago