Answer:
The nth term of the sequence is
<h2>9n - 8</h2>
Step-by-step explanation:
The sequence above is an arithmetic sequence
For an nth term in an arithmetic sequence
A(n) = a + ( n - 1)d
where a is the first term
n is the number of terms
d is the common difference
From the question
a = 1
d = 10 - 1 = 9 or 19 - 10 = 9 or 28 - 19 = 9
So the nth term of the sequence is
A(n) = 1 + (n - 1)9
= 1 + 9n - 9
= 9n - 8
<h3>A(n) = 9n - 8</h3>
Hope this helps you
Answer:
<h3>
![\boxed{ \boxed{ \bold{ \sf{2.6}}}}](https://tex.z-dn.net/?f=%20%5Cboxed%7B%20%5Cboxed%7B%20%5Cbold%7B%20%5Csf%7B2.6%7D%7D%7D%7D)
</h3>
Step-by-step explanation:
![\sf{6(4 - y) = 5 + 3}](https://tex.z-dn.net/?f=%20%5Csf%7B6%284%20-%20y%29%20%3D%205%20%2B%203%7D)
Distribute 6 through the parentheses
![\sf{24 - 6y = 5 + 3}](https://tex.z-dn.net/?f=%20%5Csf%7B24%20-%206y%20%3D%205%20%2B%203%7D)
Add the numbers
![\sf{24 - 6y = 8}](https://tex.z-dn.net/?f=%20%5Csf%7B24%20-%206y%20%3D%208%7D)
Move constant to right hand side and change it's sign
![\sf{ - 6y = 8 - 24}](https://tex.z-dn.net/?f=%20%5Csf%7B%20-%206y%20%3D%208%20-%2024%7D)
Calculate
![\sf{ - 6y = - 16}](https://tex.z-dn.net/?f=%20%5Csf%7B%20-%206y%20%3D%20%20-%2016%7D)
Divide both sides of the equation by -6
![\sf{ \frac{ - 6y}{ - 6} = \frac{ - 16}{ - 6} }](https://tex.z-dn.net/?f=%20%5Csf%7B%20%5Cfrac%7B%20-%206y%7D%7B%20-%206%7D%20%20%3D%20%20%5Cfrac%7B%20-%2016%7D%7B%20-%206%7D%20%7D)
Calculate
![\sf{y = 2.6}](https://tex.z-dn.net/?f=%20%5Csf%7By%20%3D%202.6%7D)
Hope I helped!
Best regards!!
The expression that would represent the total number of students at the summer camp for all three years is (b) 5.5s - 54
<h3>How to determine the expression?</h3>
Let the number of students in 2010 be s.
So, we have:
- Year 2011 = 1/2s i.e. half as many students in 2010
- Year 2012 = s - 54 i.e. 54 students less than 2010
The total number of students is:
Total = s + 1/2s + s - 54
Evaluate
Total = 9s/2 - 54
Rewrite s:
Total = 5.5s - 54
Hence, the expression that would represent the total number of students at the summer camp for all three years is (b) 5.5s - 54
Read more about expressions at:
brainly.com/question/723406
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