The explicit rule for the arithmetic sequence for the sequence is a(n) = 3n + 2.
<h3>What is a sequence?</h3>
It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
We have given:
and
The above expression represents the common ratio:
d = 3
First term:
a = 5
The explicit rule for the arithmetic sequence:
a(n) = 5 + (n - 1)3
a(n) = 3n + 2
Thus, the explicit rule for the arithmetic sequence for the sequence is a(n) = 3n + 2.
Learn more about the sequence here:
brainly.com/question/21961097
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Answer:
(4X-3)(3X^2-1)
Step-by-step explanation:
12X^3-9X^2-4X+3=
3X^2*(4X-3)-(4X-3)=
(4X-3)(3X^2-1)
Answer: 2.5
Step-by-step explanation:
Solve the numerator first.
We are left with:
To be able to work this out, we must convert the fraction to a decimal.
To do this, you can either go from a mixed number to an improper fraction and then from an improper fraction to a decimal, or you can divide the fractional part of the mixed number and add it to the whole number.
6+(1/4)
6+(0.25)
6+0.25
6.25
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Now, we know that this is a positive outcome because we have 2 negatives dividing.
6.25/2.5
To be able to work this out we have 1 more step to go. We have to convert these decimals to whole numbers; to do this, we multiply by 1 followed by as many zeros as the biggest number of decimals. In this case, the biggest number of decimals is 2, therefore; we must multiply by 1 followed by 2 zeros rather 100.
6.25*100/2.5*100
625/250
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Let's solve this.
625/250=2.5
500
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125'0
1250
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