If the mean of five values is 9.6 and four of the values are 8, 14, 7, and 13, find the fifth value.
1 answer:
Answer:
The missing value is 6
Step-by-step explanation:
We know that there are 5 values but only 4 are given:
⇒ The given values are: 8, 14, 7, and 13
⇒ Let the fifth value be "x"
We also know the mean which is 9.6
<em><u>Solve for the missing value:</u></em>
⇒ 9.6 (mean) =
<em>multiply 5 on both sides </em>
⇒ 9.6 x 5 = x 5
⇒ 48 = 8 + 14 + 7 + 13 + x
<em>add the numbers:</em>
⇒ 8 + 14 + 7 + 13 + x = 42 + x
<em>the equation becomes: </em>
⇒ 48 = 42 + x
<em>Now, subtract 42 on both sides:</em>
⇒ 48 - 42 = 42 - 42 + x
⇒ 6 = x
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Common difference between the terms is 36
Formula for nth term is
27th term is 961
Given :
X, 2X + 11 and 4X - 3 are consecutive terms of an arithmetic sequence
To Find:
We need to find the constant difference between the given terms and also find the nth term . Also find the 27th term .
To find the difference , we need to take the difference of consecutive terms
Both the common differences are equal
First term is 25
second term is 2(25)+11=61
Difference is 61-25=26
Common difference = 36
Use nth term formula is
To find 27th term , replace n with 27
Learn more : brainly.in/question/41142594