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3 years ago

What is the explicit rule for this geometric sequence? 4,45,425,4125,…

2 answers:

4 0

You did not write the question correctly but I will try to answer the question according to 2 possible interpretations of your question.

Case 1:

Given the geometric sequence:

$4,\ \frac{4}{5} ,\ \frac{4}{25} ,\ \frac{4}{125} ,\ .\ .\ .$

Common ratio is given by $r= \frac{2nd\ term}{1st\ term} = \frac{ \frac{4}{5} }{4} = \frac{1}{5}$

The explicit rule of a geometric sequence is given by $T_n=ar^{n-1}$

Therefore, the explicit rule of the given sequence is $T_n=4\left( \frac{1}{5} \right)^{n-1}\ or\ 20\left( \frac{1}{5} \right)^n$

Case 2:

Given the geometric sequence:

$4,\ 4\cdot5,\ 4\cdot25,\ 4\cdot125,\ .\ .\ .$

Common ratio is given by $r= \frac{2nd\ term}{1st\ term} = \frac{4\cdot5}{4} = 5$

The explicit rule of a geometric sequence is given by $T_n=ar^{n-1}$

Therefore, the explicit rule of the given sequence is $T_n=4(5)^{n-1}\ or\ \frac{4}{5}(5)^n$

zysi [14]3 years ago

4 0

Answer:

The Answer Is An=4⋅(1/5)n−1

Step-by-step explanation:

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sergeinik [125]

Answer:

Meg should use 6 scoops.

3/4 = 6/8

1/8 x 6 = 6/8

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3 years ago

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e-lub [12.9K]

Answer:

2.125

Step-by-step explanation:

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3 years ago

Jordan bikes at a speed of 8 2/3 mph. How many miles will he bike in 3 hours and 6 minutes?

Daniel [21]

Jordan will cover $26\frac{13}{15}\ miles$ in 3 hours and 6 minutes.

Step-by-step explanation:

Given,

Speed of Jordan = $8\frac{2}{3}=\frac{26}{3}\ mph$

Time = 3 hours and 6 minutes.

Converting minutes into hour.

6 minutes = $\frac{6}{60}\ hour = \frac{1}{10}\ hour$

Therefore;

Time = 3+ $\frac{1}{10}$ = $\frac{30+1}{10} = \frac{31}{10}\ hours$

Distance = Speed * Time

Distance = $\frac{26}{3}*\frac{31}{10}$

Distance = $\frac{806}{30}=\frac{403}{15}$

Distance = $26\frac{13}{15}\ miles$

Jordan will cover $26\frac{13}{15}\ miles$ in 3 hours and 6 minutes.

Keywords: fraction, multiplication

Learn more about fractions at:

#LearnwithBrainly

8 0

4 years ago

Find three consecutive odd integers whose sum is 183

charle [14.2K]

Answer:

60+61+62= 183

Step-by-step explanation:

x + x-+1 + x+2 = 183

3x +3 = 180

3x =180

x=60

6 0

3 years ago

Lie detectors Refer to Exercise 82. Let Y = the number of people who the lie detector says are telling the truth.

mr_godi [17]

Answer:

a) $P(Y\geq 10) = PX \leq 2) = 0.558$

b) $E(X) = \mu_X = np = 12*0.2 = 2.4$

$\sigma_X = \sqrt{np(1-p)}=\sqrt{12*0.2*(1-0.2)}=1.386$

$E(Y) = \mu_Y = np = 12*0.8 = 9.6$

$\sigma_Y = \sqrt{np(1-p)}=\sqrt{12*0.8*(1-0.8)}=1.386$

For this case the expected value of people lying is 2.4 and the complement is 9.6 and that makes sense since we have a total of 12 poeple.

And the deviation for both variables are the same.

Step-by-step explanation:

Assuming this previous info : "A federal report finds that lie detector tests given to truthful persons have probability about 0.2 of suggesting that the person is deceptive. A company asks 12 job applicants about thefts from previous employers, using a lie detector to assess their truthfulness. Suppose that all 12 answer truthfully. Let X = the number of people who the lie detector says are being deceptive"

For this case the distribution of X is binomial $X \sim N(n=12, p=0.2)And we define the new random variable Y="the number of people who the lie detector says are telling the truth" so as we can see y is the oppose of the random variable X, and the distribution for Y would be given by:[tex] Y \sim Bin (n=12,p=1-0.2=0.8)$

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$