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Tresset [83]
4 years ago
13

These are the first four terms of a sequence.

Mathematics
2 answers:
Helga [31]4 years ago
5 0

Answer:

F(x)= 5+3(n-1)

Step-by-step explanation:

5 represents term 1. +3 is demonstrating what you do in the pattern for every resulting number. you multiply by (n-1) because 5+3 already demonstrates the next term, so you subtract the term number by 1

DedPeter [7]4 years ago
3 0

Answer:

2+3n

Step-by-step explanation:

This question is based on a topic called sequence and series,under which we have the arithmetic progression

The formula for arithmetic progression is a+(n-1)d

In which a is the first number,n is the nth term and d is the difference

Back to the question

a=5,n=it's not given,d=3

Using the general formula

a+(n-1)d

5+(n-1)3

Open the bracket first

5+3n-3

Collect like terms

5-3+3n

2+3n

The answer is 2+3n

And it can be solved further only if we are given the value of n...the question even stated that we should solve in terms of n

Therefore the answer is 2+3n

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Rationalize the expression and simplify. <br><br> <img src="https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B4%2Bh%7D-2%20%7D%7Bh%7D"
MAXImum [283]
You multiply by the conjugate to both the denominator and numerator.
After that you can simplify by canceling the 4 and then you are able to simplify the (h) as well.

5 0
4 years ago
Simplify (4.2^n+1 _ 2^n+2 )/(2^n+1 _ 2^n).​
irina [24]

4.2^n+12^n+2/2^n+12^n

Step-by-step explanation:

6 0
3 years ago
A baseball team won 22 of the first 40 games it played. If the team's wins and losses continue at the same rate, how many games
Triss [41]
This game isn't too bad.
We have a proportion which represents another number. 

Basically the problem states that the ratio: 
22/40 is applicable to the ratio of:
# Wins / # Games 

I'll represent the # Wins with the letter W.
and I'll represent the # of Games with the letter G. 

So we simply set them equal to each other. 

22/44 = W / G

They gave us G = 162 games

22 / 44 = W / 162

Cross multiply. So, the denominator on the left side of the equation will multiply with the numerator on the right. While the denominator on the right multiplies with the numerator on the left. 

44*W = 22*162

You'll probably need a calculator for 22*162, but you can use long multiplication if it isn't allowed. 

44W = 3564

Divide 44 on both sides. 

W = 3564 / 44 

W = 81

C. 81 is our answer!
5 0
3 years ago
$1500 is invested at a rate of 3% compounded monthly. Write a compound interest function to model this situation. Then find the
Marianna [84]

Answer:

<u>Equation</u>:  F=1500(1.0025)^{12t}

<u>The balance after 5 years is:  $1742.43</u>

<u></u>

Step-by-step explanation:

This is a compound growth problem . THe formula is:

F=P(1+\frac{r}{n})^{nt}

Where

F is future amount

P is present amount

r is rate of interest, annually

n is the number of compounding per year

t is the time in years

Given:

P = 1500

r = 0.03

n = 12 (compounded monthly means 12 times a year)

The compound interest formula modelled by the variables is:

F=1500(1+\frac{0.03}{12})^{12t}\\F=1500(1.0025)^{12t}

Now, we want balance after 5 years, so t = 5, substituting, we get:

F=1500(1.0025)^{12t}\\F=1500(1.0025)^{12*5}\\F=1500(1.0025)^{60}\\F=1742.43

<u>The balance after 5 years is:  $1742.43</u>

3 0
3 years ago
Wich expression is equivelent to 4(3+5)-3times9 to the power of 2
77julia77 [94]

Answer:

-211

Step-by-step

8 0
3 years ago
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