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tankabanditka [31]
3 years ago
10

3a n (a n + a n - 1 ) How would I simplify it?

Mathematics
1 answer:
Tanzania [10]3 years ago
7 0
Add the like terms in the parentheses. then distribute the 3an with both terms inside the parentheses. you should then have a simplified answer.
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Answer:

A square root of 80 m

Step-by-step explanation:

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Ganezh [65]

Answer:

55 mph

Step-by-step explanation:

First hour: 40 mph

Second, Third, Fourth hours:

180 miles / 3 hours = 60 mph

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Danika signs up to work for 3 1/2 hours at the science fair. If each work shift is 3/4 hour, how many shifts will Danika work?
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namely, how many times does 3/4 go into 3½?  Let's firstly convert the mixed fraction to improper fraction.

\bf \stackrel{mixed}{3\frac{1}{2}}\implies \cfrac{3\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{7}{2}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{7}{2}\div \cfrac{3}{4}\implies \cfrac{7}{~~\begin{matrix} 2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\cdot \cfrac{\stackrel{2}{~~\begin{matrix} 4 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{3}\implies \cfrac{14}{3}\implies 4\frac{2}{3}

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Answer: 200°C + 273.15 = 473.15K

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3 years ago
Jared creates a number sequence that has a first term of 2 and a second of term of 5. Each term after the second is created by s
dexar [7]

The rule for the sequence is S(n) = 2S(n-1) - S(n-2)

Alternative form: S(n) = S(n-1) + 3

Step-by-step explanation:

In this problem, we know the first two terms of the sequence:

S(1) = 2

S(2) = 5

We are told that each term after the second is created by subtracting the term before the previous term from twice the previous term. In other words, if we call:

S(n) the current term

S(n-1) the previous term

S(n-2) the term before the previous term

This statement translates into the following sequence:

S(n) = 2S(n-1) - S(n-2)

Because we are subtracting the term before the previous term, S(n-2), from twice the previous term, 2S(n-1).

We can apply now the rule to find the first few terms of the sequence after S(1) and S(2):

S(3) = 2S(2) - S(1) = 2(5)-2=10-2 = 8

S(4) = 2S(3) - S(2) = 2(8)-5=16-5 = 11

S(5) = 2S(4) - S(3) = 2(11)-8=22-8 = 14

We notice also that each term of the sequence is just equal to the previous term plus 3, so the sequence can also be written as

S(n) = S(n-1) + 3

Learn more about sequences:

brainly.com/question/1522572

brainly.com/question/3280369

#LearnwithBrainly

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