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grigory [225]
3 years ago
12

Find the 5th term of the sequence defined by the give rule. f(n) = n²+ 5. A step by step explanation with answer would be greatl

y helpful.
Mathematics
1 answer:
skad [1K]3 years ago
3 0

Answer:

<h3>The 5th term is 30</h3>

Step-by-step explanation:

Given the formula

f(n) = n² + 5

where n is the number of terms

So from the question we were told to find the 5th term that's

n = 5

In order to find the 5th term substitute the value of n that's 5 into the rule

We have

f(5) = 5² + 5

= 25 + 5

= 30

<h3>f(5) = 30</h3>

So the 5th term of the sequence in the given rule is 30

Hope this helps you

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The following data give the prices of seven textbooks randomly selected from a university bookstore.
swat32

Answer:

a) Mean = $121

Sum of deviations = $0

b) Standard deviation = 41.19

Variance = 1696.67

Range = $120

Step-by-step explanation:

We are given the following data:

$91 , $176 , $108 , $115 , $56 , $157 , $144

a) Mean and sum of deviations

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{847}{7} = 121

Sum of deviations =

-30 + 55 - 13 - 6 - 65 + 36 + 23 = 0

The sum of deviations is zero dollars.

b) range, variance, and standard deviation

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.

Sum of square of differences =

900 + 3025 + 169 + 36 + 4225 + 1296 + 529 = 10180

\sigma = \sqrt{\dfrac{10180}{6}} = 41.19\\\\\sigma^2 = 1696.67

Sorted data: 56, 91, 108, 115, 144, 157, 176

Range = Maximum - Minimum

Range = 176 - 56 = 120

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