3y = -9x + 12
y = -3x + 4
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The 24th term is 152
Step-by-step explanation:
The formula of the nth term of an arithmetic sequence is:
, where
- a is the first term
- d is the common difference between consecutive terms
The third term means n = 3
∵ 
∴ 
∵
= 5
- Equate the right hand sides of the third term
∴ a + 2d = 5 ⇒ (1)
The fifth term means n = 5
∵ 
∴ 
∵
= 19
- Equate the right hand sides of the fifth term
∴ a + 4d = 19 ⇒ (2)
Now we have a system of equations to solve it
Subtract equation (1) from equation (2) to eliminate a
∴ 2d = 14
- Divide both sides by 2
∴ d = 7
- Substitute the value of d in equation (1) to find a
∵ a + 2(7) = 5
∴ a + 14 = 5
- Subtract 14 from both sides
∴ a = -9
The twenty fourth term means n = 24
∵ a = -9 and d = 7
- Substitute the values of a and d in the formula of the nth term
∴ 
∴ 
∴ 
∴ 
The 24th term is 152
Learn more:
You can learn more about the arithmetic sequence in brainly.com/question/7221312
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Answer:
$0.14
Step-by-step explanation:
When you divide the cost of pencils to the amount the pencils is the amount of each pencil.
Answer:
1/2 or 0.5 (same value, different form)
Step-by-step explanation:
Ok...since I can't actually graph it, we can make a table out of it....
x y
7 -1
9 0
From -1 to 0, we add 1 (this is for the y section)
From 7 to 9, we add 2 (this is for the x section)
Now all we have to do is divide the y with the x
y/x = 1/2
The slope will be 1/2 (fraction form) 0.5 (decimal form)
Hope this helped!
Answer:
Step-by-step explanation:
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