1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
netineya [11]
1 year ago
14

200 σ j=1 2j( j 3) describe the steps to evaluate the summation. what is the sum?

Mathematics
1 answer:
ziro4ka [17]1 year ago
6 0

The sum of the equation is  = 5494000.

<h3>What does summation mean in math?</h3>

The outcome of adding numbers or quantities mathematically is a summation, often known as a sum. A summation always has an even number of terms in it. There may be just two terms, or there may be 100, 1000, or even a million. Some summations include an infinite number of terms.

<h3>Briefing:</h3>

Distribute 2j to (j+3).

Rewrite the summation as the sum of two individual summations.

Evaluate each summation using properties or formulas from the lesson.

The lower index is 1, so any properties can be used.

The sum is 5,494,000.

<h3>Calculation according to the statement:</h3>

\sum_{j=1}^{200} 2 j(j+3)

simplifying them we get:

\sum_{j=1}^{200} 2 j^{2}+6 j

Split the summation into smaller summations that fit the summation rules.

\sum_{j=1}^{200} 2 j^{2}+6 j=2 \sum_{j=1}^{200} j^{2}+6 \sum_{j=1}^{200} j

\text { Evaluate } 2 \sum_{j=1}^{200} j^{2}

The formula for the summation of a polynomial with degree 2

is:

\sum_{k=1}^{n} k^{2}=\frac{n(n+1)(2 n+1)}{6}

Substitute the values into the formula and make sure to multiply by the front term.

(2)$$\left(\frac{200(200+1)(2 \cdot 200+1)}{6}\right)$$

we get: 5373400

Evaluating same as above : 6 \sum_{j=1}^{200} j

we get: 120600

Add the results of the summations.

5373400 + 120600

= 5494000

The sum of the equation is  = 5494000.

To know more about  summations visit:

brainly.com/question/16679150

#SPJ4

You might be interested in
F(x) = square root of x+9 ; g(x) = 8x - 13<br> Find f(g(x))
ryzh [129]

Answer:

\sqrt{8x-4}

Step-by-step explanation:

Substitute x = g(x) into f(x) , that is

f(g(x))

= f(8x - 13)

= \sqrt{8x-13+9}

= \sqrt{8x-4}

3 0
3 years ago
M plus 4 equals minus 12
lana [24]
M + 4 = -12
Subtract 4 from both sides
Final Answer: M = -16
3 0
3 years ago
Read 2 more answers
Find the midpoint of the line segment joining points A and B.<br> A(2, - 5); B(4,1)
Nookie1986 [14]

Answer:

(3, -2)

Step-by-step explanation:

Find the midpoint coordinates (x, y) of points A(2, - 5) and  B(4, 1)

x-coordinate of the midpoint is (2+4)/2 = 6/2= 3

y-coordinate of the midpoint is (-5+1)/2 = -4/2= -2

The mid point coordinates are (3, -2)

6 0
3 years ago
What is the graph of the function f(x) =x^2+3x+5/x+2
kirill [66]
Ok, this is what I got.

Hope this helps you. ;)

7 0
3 years ago
How many birds were at Thursday
Katarina [22]

Answer:

4 birds

Step-by-step explanation:

4 * $4.5 = $18

12 * $6.5 = $78

78 + 18 = $96

3 0
3 years ago
Other questions:
  • What number is 22% if 320
    11·1 answer
  • If the ratio of radius of two spheres is2:3 what is the ratio of their volumes​
    10·2 answers
  • 4-3x &gt; 2x -1 what does it need to be to be greater or less than I guess
    8·1 answer
  • Is WXY ~ ZYV? Justify your answer. The image is not drawn to scale.
    14·2 answers
  • F(x) = −16(x − 4)<br> + 255 <br><br> What is the value of f(x) when x = 5?
    7·1 answer
  • How much 50% sugar syrup can you make if you have x grams of sugar ? HELP!!!!!!!!!!!!! I WILL GIVE 13PT
    14·1 answer
  • In a basketball tournament, Demitri averaged 12.375 rebounds per game. What is the 12.375 written in expanded form? How is it wr
    6·1 answer
  • 5<br> ogarithmic equation in exponential form:<br> log(5k + 4) = 8r
    13·1 answer
  • I just need #10 answered please. Incase you can’t see it it says “what is the solution to the inequality for #9
    13·2 answers
  • If you translate the cubic parent function, F(x) = x3, down 2 units, what is the
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!