The additive inverse of -7
2 answers:
Answer:
7
Step-by-step explanation:
An<em> "additive inverse"</em> refers to a number that when added to a specific number equals to <em>"zero."</em>
In the question above, the additive inverse of -7 is 7 because:<u> -7 + 7 = 0</u>
Other examples:
1. The additive inverse of 2 is -2 because: 2 + (-2) = 0
2. The additive inverse of -100 is 100 because: -100 + 100 = 0
3. The additive inverse of is -
because:
+ -
= 0
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2018 is the 70th term of the progression.
Explanation
We start out finding the common difference of the progression:
46-17 = 29
Now we write the explicit formula for the sequence. It is of the form
We set this equal to 2018 to see if the answer is a whole number. If it is, it will be the term number that gives us 2018:
2018=17+29(n-1)
Using the distributive property,
2018=17+29*n-29*1
2018=17+29n-29
Combine like terms:
2018=29n-12
Add 12 to both sides:
2018+12=29n-12+12
2030=29n
Divide both sides by 29:
2030/29=29n/29
70=n
Since n=70, this means 2018 is the 70th term of the sequence.
Explanation
We start out finding the common difference of the progression:
46-17 = 29
Now we write the explicit formula for the sequence. It is of the form
We set this equal to 2018 to see if the answer is a whole number. If it is, it will be the term number that gives us 2018:
2018=17+29(n-1)
Using the distributive property,
2018=17+29*n-29*1
2018=17+29n-29
Combine like terms:
2018=29n-12
Add 12 to both sides:
2018+12=29n-12+12
2030=29n
Divide both sides by 29:
2030/29=29n/29
70=n
Since n=70, this means 2018 is the 70th term of the sequence.
Answer:
B
Step-by-step explanation:
