The sum of the first 20 terms of an arithmetic sequence with the 18th term of 8.1 and a common difference of 0.25 is 124.5
Given,
18th term of an arithmetic sequence = 8.1
Common difference = d = 0.25.
<h3>What is an arithmetic sequence?</h3>
The sequence in which the difference between the consecutive term is constant.
The nth term is denoted by:
a_n = a + ( n - 1 ) d
The sum of an arithmetic sequence:
S_n = n/2 [ 2a + ( n - 1 ) d ]
Find the 18th term of the sequence.
18th term = 8.1
d = 0.25
8.1 = a + ( 18 - 1 ) 0.25
8.1 = a + 17 x 0.25
8.1 = a + 4.25
a = 8.1 - 4.25
a = 3.85
Find the sum of 20 terms.
S_20 = 20 / 2 [ 2 x 3.85 + ( 20 - 1 ) 0.25 ]
= 10 [ 7.7 + 19 x 0.25 ]
= 10 [ 7.7 + 4.75 ]
= 10 x 12.45
= 124.5
Thus the sum of the first 20 terms of an arithmetic sequence with the 18th term of 8.1 and a common difference of 0.25 is 124.5
Learn more about arithmetic sequence here:
brainly.com/question/25749583
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Answer:
<h2>The answer is 58 m</h2>
Step-by-step explanation:
Perimeter of a rectangle = 2l + 2w
where
l is the length
w is the width
From the question
length = 17 m
width = 12 m
Substitute the values into the above formula and solve for the perimeter
We have
Perimeter = 2(17) + 2(12)
= 34 + 24
We have the final answer as
<h3>58 m</h3>
Hope this helps you
Divide the total the lake holds by the number of days:
400 million / 25 days = 16 million gallons per day.
$21.44•.25=$5.36
So if you are asking just how much the shipping and handling is it’s $5.36 but if you are asking the total it’s. $26.80
$21.44+$5.36=$26.80
Hello There!
17/5 = 3.4
3.4 x 6 = 20.4
k = 20.4
Hope This Helps You!
Good Luck :)
- Hannah ❤
