The explicit formula for the sequence is 3n -10
<h3>What is an Arithmetic Sequence ?</h3>
An arithmetic sequence is a series of terms which have common difference between its consecutive numbers.
The sequence given is
−7, −4, −1, 2, 5, …
The common difference between each term is d =3
-4-(-7) = 3
-1-(-4) =3
The nth term for a sequence is given by
Here a is the first term = -7
n is the no. of terms = n
d is the common difference = 3
Therefore the equation will be
= -7 +3n -3
= 3n -10
Therefore the explicit formula for the sequence is 3n -10 .
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To know what to do first in a math problem we look to order of operations... PEMDAS stands for parentheses, exponents, multiplication, division, addition, and subtraction. So to begin we look for parentheses... do we have any? Why, yes, yes we do. Let's work!
(3+3) + 6 / 3 + 6 =
Add 3+3 in the parentheses. Since there is nothing else, the parentheses can go away.
6 + 6 / 3 + 6 =
Now, any exponents? Nope... Multiplication? Nope... division? Yes! Let's go!
6 + 2 + 6 =
Now all we have left is addition... Go for it!
8 + 6 = 14
Done!
Amount that trouvaughn paid : $0.80b
ten dollar bill = $10
so $(10-0.80b)
In the case above, the option that one need to include in your answer is to Find a common denominator.
<h3>What is Fraction in lowest terms?</h3>
When the numerator and denominator of a fraction are known to not have common factor other than 1, then a person can say that the fraction in its simple form or say its in its lowest term.
Since there is a common numerator and the common denominator will be between 10 and 20. Since 10 is less that than 20, the common denominator will be 20 as both can divide it.
Hence, In the case above, the option that one need to include in your answer is to Find a common denominator.
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Answer: 300
We know that 5×3=15. Since we are trying to get 1500 we Multiply 300×5 and get 1500.
<u>How do we know?</u>
- As you can see if you cross out 2 of the 0 in 300 you have 3×5. When you multiply it you get 15.
- Also if you cross out 1 of the 0 in 300 you have 30×5. When you multiply that you get 150.
As you see when you still multiply either of those problems you have 15 in it. So we should know 300×5=1500.
Note: We can also multiply 500×3 and get 1500. You still get the same answer but just switched numbers.
