To my knowledge, the answer should be there is no difference since I found the sum, however the answer is something else, could someone please explain
hello125 avatar

Answers

Answer 1
Answer: In the first series, the summation applies to the whole (2n+3) inside
the parentheses, so the 3 gets summed up 5 times.

But in the second one, the summation only applies to the 2n , so
the 3 is only added after the summation is finished.

The difference between five 3s the first time and one 3 the second time
is your 12 .
Answer 2
Answer: The difference between them is 12 because :
the sum of first series is : 2 * ( 1 + 2 + 3 + 4 + 5  ) + 15;
the sum of the second series is : 2 * ( 1 + 2 + 3 + 4 + 5 ) + 3.

Related Questions

Determine whether the graphs of the given equations are parallel, perpendicular, or neither. y=x+11 y=-x+2
What is the value of a in the equation a=3a + 12?
Dana just finished paying off the $15,400 loan she took out four years ago. the loan had 6.68% interest, compounded monthly. if dana paid a total of $18,321.60, how much did she pay in service charges?
Himpunan penyelesaian dari pertidaksamaan | 2x + 1| ≤ 3 adalah.....a. { -1 ≤ x ≤3 }b. { -2 ≤ x ≤ 2}c. { -2 ≤ x ≤ 1 }d. { -1 ≤ x ≤ 1 }e. { 0 ≤ x ≤ 1 }Tolong caranya...
PLEASE HELP Write an equation in standard form of the line that passes through the given pointand has the given slope.1. (2,-4); m= 2/3 2. (5, -3); m - 2 3. (6,0); m= 3/44. (-1, 2); m - 75. (-3,-5), m=136. (4,0); m - -5

4.(01.03)
Suppose you are going to graph the data in the table below. What data should be represented on each axis, and what would be the appropriate increments? (2 points)

Reporting periods Sales
Jan.–Mar., 2010 $100,000
Apr.–Jun., 2010 $55,000
Jul.–Sep., 2010 $45,000
Oct.–Dec., 2010 $110,000
Jan.–Mar., 2011 $330,000
Apr.–Jun., 2011 $800,000
Jul.–Sep., 2011 $242,000
Oct.–Dec., 2011 $150,000



x-axis: time period in increments of 1 month; y-axis: sales in increments of $1,000

x-axis: sales in increments of $1,000; y-axis: time period in increments of 1 month

x-axis: time period in increments of 3 months; y-axis: sales in increments of $100,000

x-axis: sales in increments of $100,000; y-axis: time period in increments of 3 months

Answers

The x axis should be time periods and since the range of months is in 3 months, the increments should be every 3 months.

The y-axis should be the sales and since most of the amounts are in 6 digits, we use increments of $100,000.

Therefore, the answer is the 3rd options:
x-axis: time period in increments of 3 months; y-axis: sales in increments of $100,000

What is the greatest common factor of 42a^5b^3, and 42ab^4

Answers

the greatest common factor of 36x3 and 8x is simply 4X

Do linear relationships have a constant rate of change ​

Answers

Answer:

Yes my son they do so yeah

Step-by-step explanation:

Cuz I know

Line AB is drawn from A(0,10) to B(-7,-4). Find point C that partitions line AB in ratio 5:2a) (-2,6)
b) (-3.5, 3)
c) (-5,0)
d) (-6,-2)

Answers

c) (-5, 0)

Working;
Use the formula;
x coordinate=( k_(1) x_(B)+ k_(2) x_(A) )/( k_(1) + k_(2) )( k_(1) y_(B) + k_(2) y_(A) )/( k_(1) + k_(2) )

Luke takes a sheet of paper and cuts from one corner to the opposite corner, making two triangles. If the piece of paper is 16 inches long and 12 inches wide, how long is the dagonal cut that Luke made? Make sure to show your work and explain ypur answer.

Answers

You need to apply the Pythagoras theorem, which is a squared + b squared is c squared. C squared in this formula is the hypotenuse squared. The hypotenuse is the longest side of a triangle, opposite the largest angle of the triangle. Keep in mind that the Pythagoras theorem only applies to right angle triangles. 

In this question c squared is the diagonal you are trying to figure out.

A squared is any side of the triangle other than c squared, and b squared is the other side of the triangle. So a squared is 16 inches squared, and b squared is 12 inches squared.

To work this out, we square 16 to give 256.

Then 12 is squared - 144.

Then we square root 256 + 144, or the square root of 400.

The square root of 400 is 20, so the diagonal Luke cut was 20 inches long.

Final answer:

The length of the diagonal cut is calculated using the Pythagorean theorem. The sides of the paper form two sides of a right-angled triangle, and by squaring and adding these lengths, then taking the square root of the result, we find that the hypotenuse, or diagonal, is 20 inches long.

Explanation:

In mathematics, particularly in geometry, the Pythagorean theorem is the fundamental principle used to calculate the length of the hypotenuse in a right-angled triangle. In this question, the sheet of paper can be considered a rectangle and when it is cut from one corner to the opposite corner, it forms two right-angled triangles.

The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This can be written as: a² + b² = c²

Here, the length and width of the paper represent the two sides of the triangle, 16 inches and 12 inches respectively, and the diagonal cut (we'll call it 'd') is the hypotenuse. Thus, the equation becomes:

12² (which equals 144) + 16² (which equals 256) equals d²

Adding 144 and 256 gives 400, so d² = 400. To find 'd', we take the square root of 400, which is 20.

So, the length of the diagonal cut that Luke made is 20 inches.

Learn more about Pythagorean theorem here:

brainly.com/question/28361847

#SPJ3

D + 3n = 1 solve for n

Answers

We are given with the equation d + 3n = 1  and asked to solve for n in the problem. the first step is to apply subtraction property by subtracting d to each side of the equation. Hence 3 n = 1 - d. next, we use division property by dividing the whole equation by 3. hence n = (1 - d) / 3

Final answer:

To solve for n in the equation d + 3n = 1, isolate n by subtracting d from both sides and then divide by 3.

Explanation:

To solve for n in the equation d + 3n = 1, we need to isolate the variable n. Start by subtracting d from both sides of the equation:

d + 3n - d = 1 - d

Simplify:

3n = 1 - d

Next, divide both sides of the equation by 3 to get the value of n:

n = (1 - d)/3

So, the solution for n is (1 - d)/3.

Learn more about Solving for n in an equation here:

brainly.com/question/12871496

#SPJ5

Other Questions