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Olenka [21]
3 years ago
15

here are the first four tearms of a sequence 1, 11, 22, 37, find and express in terms of n the nth term of this sequence

Mathematics
1 answer:
Umnica [9.8K]3 years ago
7 0

2n² + n + 1

<u>Explanation:</u>

The sequence is 4, 11, 22, 37

Difference between:  7, 11, 15

The first differences are 7, 11, 15, and the second differences are 4.

Since half of 4 is 2, then the first term will be 2n^2.

Subtracting 2n² from the sequence gives 2, 3, 4, 5 which has nth term n + 1.

Therefore the final answer is 2n² + n + 1

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What is 6/2(1+2)=?
Rufina [12.5K]

Answer:

Answer is 9

Step-by-step explanation:

Remember PEMDAS???

"parenthesis, exponents, multiplication, division, addition, subtraction"

you would first solve the addition inside of the parentheses (1 + 2 = 3), and from there finish the equation as it's written from left to right.

8 0
2 years ago
Read 2 more answers
The expression 2( 21x + 75 ) represents the monthly tuition and the one-time materials fee that Jamie pays for his two children
ss7ja [257]

Answer:  x represents the number of months, 150 represents one-time materials fee,  2( 21x + 75 ) represents total fees in x months and 42 represents rate of change.

Step-by-step explanation:

Since, Here the expression 2( 21x + 75 ) represents the monthly tuition and the one-time materials fee that Jamie pays for his two children to join a science club.

Let, f(x) represents the monthly tuition fee

Therefore, f(x)= 2( 21x + 75 )

⇒f(x)= 42 x +150

Again according to the question, there is a one-time materials fee which must be free from the variable.

Therefore In f(x) , 150 must represent one time material fees.

And, x is variable, and here number of months is a variable.

Thus, x must be denote the number of months.

And, 42 must be denote the fees for 1 month.



8 0
3 years ago
What is the slope of the line<br><br> A.1/2<br><br> B.1<br><br> C.-2<br><br> D.2
Eduardwww [97]
I think the answer is A
4 0
3 years ago
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Determine the intercepts of the line. <br><br> Y-intercept (___,___)<br> X-intercept (___,___)
fenix001 [56]

Answer:

(-10,0) is the X intercept

(0,-45) is the Y intercept

Step-by-step explanation:

The x intercept is where it meets on the x axis, the y intercept is where it intercepts on the y axis

7 0
3 years ago
A group of friends shared the cost of a printer. If John, Carl and Jason each paid $15, $25, and $112 respectively, then Carl pa
vfiekz [6]

The percent of the cost of the printer Carl paid is 16.45%

<h3>The total cost of printer</h3>

Since John, Carl and Jason each paid $15, $25, and $112 respectively, the total cost of the printer is T = $15 + $25 + $112 = $152

Since Carl paid $25, we need to find the percent of the total amount Carl paid.

<h3>Percent Carl paid</h3>

So, percent Carl paid = amount Carl paid/total cost × 100 %

Since amount Carl paid = $25 and total cost = $152,

Substituting the values of the variables into the equation, we have

percent Carl paid = amount Carl paid/total cost × 100 %

percent Carl paid = $25/$152 × 100 %

percent Carl paid = 0.1645 × 100 %

percent Carl paid = 16.45%

The percent of the cost of the printer Carl paid is 16.45%

Learn more about percent here:

brainly.com/question/24877689

6 0
2 years ago
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