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Inga [223]
2 years ago
14

Find the common ratio and an explicit form in each of the following geometric sequences.

Mathematics
1 answer:
Margaret [11]2 years ago
7 0

Answer:

The explicit form is a_{n}=162(2/3)^{n-1}

Step-by-step explanation:

The explicit form of a geometric sequence is given by:

a_{n}=ar^{n-1}

where an is the nth term, a is the first term of the sequence and r is the common ratio.

In this case:

a=162

The value of the common ratio is obtained by dividing one term by the previous term.

For the first and second terms:

108/162=2/3

For the second and third terms (In order to prove that 2/3 is the common ratio)

72/108=2/3

Therefore:

r=2/3

Replacing a and r in the formula:

a_{n}=162(2/3)^{n-1}

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I am having trouble with mean absolute deviation and whisker box plots. I try looking at examples, but it keeps stressing me out
Arada [10]

Answer:

Mean absolute deviation is a statistical measure of dispersion. Whisker box-plot is a graphical method of quartile based divided data

Step-by-step explanation:

Mean Absolute Deviation is a statistical measure of dispersion or variability  in data. It denotes average level of deviation of observations from the central mean.

It is calculated using following formula : ( Σ | X - X' | ) ÷ N ; where X = individual observations, X' = mean, N = no. of observations

Whisker Box-plot is a graphical method of representing group of numerical data through their quartiles. This also consists line extensions from boxes, showing scatter beyond lower & upper quartile.

8 0
2 years ago
Because of the relatively high interest rates, most consumers attempt to pay off their credit card bills promptly. However, this
Anastasy [175]

Answer:

Step-by-step explanation:

Let X be average interest paid monthly by a bank's Visa cardholders

Given that X is N(28, 8)

In the following to find out probability we convert X to z score and use std normal distribution table

Z = \frac{x-28}{8}

Probability being less than 1 is here equal to the proportion also.

A) P(X>32) = P(Z>0.5)=0.5-0.1915=0.3085

B) P(X>40) = P(Z>1)=0.5-0.3413=0.1687

C) P(X<19) = P(Z<-1.125)=0.5-0.0438=0.4562

D) We have to find 19th percentile here

Z =-0.88

X=28-0.88(8)\\=20.96

5 0
3 years ago
How do i turn this to decimals?<br><br> 818/1320<br><br> 1742/2540<br><br> 396/1220
trapecia [35]
You simply divide numerator by denominator
818/1320 = 0.619
1742/2540 = 0.685
396/1220 = 0.32
hope this helps ;3
6 0
3 years ago
Read 2 more answers
Cost of 10 oranges is one dollar what is the cost of five
aleksley [76]
10 oranges = $1
5 oranges = $?

To get from 10 to 5 you divide by 2 so that’s what you do with the $1 so it would be $0.50
8 0
3 years ago
Pls solve them all pls
zheka24 [161]

Answer:

Step-by-step explanation:

Hope this helps u !!

6 0
2 years ago
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