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
Scilla [17]
2 years ago
8

Please help to find an explicit formula for calculating the sum Mn

Mathematics
1 answer:
defon2 years ago
8 0

The explicit formula for calculating the sum is

S_N=\frac{n(n-1)}{2} \cdot\frac{n(n+1)}{2}

The sum of the nth term of a sequence is expressed as;

S_n=\frac{n}{2}(2a+(n-1)d)

a is the first term

d is the common difference

n is the number of terms

For the sequence  0 + 1 + 2 + 3  +...

S_n=\frac{n}{2}(2(0)+(n-1)1)\\S_n= \frac{n}{2}(n-1)\\S_n= \frac{n(n-1)}{2}

Similarly for the sequence:

1 + 2+ 3 + 4+...

S_n=\frac{n}{2}(2(1)+(n-1)1)\\S_n= \frac{n}{2}(2+n-1)\\S_n= \frac{n(n+1)}{2}

Taking the product of the sum to get the explicit formula for calculating the sum

S_N=\frac{n(n-1)}{2} \cdot\frac{n(n+1)}{2}

Learn more here: brainly.com/question/24547297

You might be interested in
Nick has $7.00. Bagels cost $0.75 each, and a small container of cream cheese costs $1.29. Write an inequality to find the numbe
saw5 [17]

Answer:

7 IS LESS THAN OR EQUAL TO 7-.75X+1.29

Step-by-step explanation:

X IS THE NUMBER OF BAGELS BOUGHT

3 0
3 years ago
2. A 2-pint bottle of olive oil costs $2.68. If
tino4ka555 [31]

Answer:

21.44 All you need to do is divide the 2.68 by 2 then multiply it by 16

7 0
2 years ago
1. Find Cos 0 if Sin 0 = 0.7771 if 0 so&lt;<br> a. 0.6293<br> b. +0.6293<br> C. 0.3961<br> d. -03961
NeTakaya
The answer is going to be B
5 0
3 years ago
A graph of a linear function is shown on the grid. Which of these best represents 0 of the function? A 8. B 10. C 16. D 24.
harina [27]

answer:

C. 16

explanation:

when x is 0, the y-intercept is 8

coordinates: (0,8) and (4,6)

slope:

\sf \frac{y2-y1}{x2-x1}

\sf \frac{6-8}{4-0}

\sf \frac{-2}{4}

\sf -\frac{1}{2}

equation:

\sf y = mx +b    [ where m is slope and b is y-intercept ]

y = \sf -\frac{1}{2}x +8

solve for x-intercept:

note: zeros of a function are the values of x when f(x) is equal to 0

y = \sf -\frac{1}{2}x +8

0= \sf -\frac{1}{2}x +8

-8= \sf -\frac{1}{2}x

\sf x = -8 * -2

\sf x = 16

3 0
2 years ago
Read 2 more answers
PLEASE HELP IM DOING SO BAD ALREADY I NEED A GOOD GRADE. In the square below, the four quarter-circles are congruent. Find the a
Neko [114]
I'm assuming a quarter-circle is exactly 1/4 of a circle.  Thus if you have 4 congruent quarter-circles, that should mean they make a complete circle.

If that is the case, then we can find the area of the full circle using pi*r^2.

So the area of the circle is 5^2*pi or 25pi.

To find the area of the shaded region, we subtract the area of the circle from the area of the square.

The area of the square is 10^2 or 100.

So the area of the shaded region is 100 - 25pi.

My calculator says that equals roughly 21.46
6 0
3 years ago
Other questions:
  • Help now please Math
    7·1 answer
  • Jose traveled 315 miles in 7 hours. What was Jose's unit rate of speed, in miles per hour?
    12·1 answer
  • What is 37/ 50 as a mixed number or percentage
    5·2 answers
  • Mean<br>Mode<br>Median<br>Range<br>42<br>43<br>44<br>45<br>46<br>47<br>48​
    6·1 answer
  • Write -4i+(1/4-5i)-(-3/4+8i)+17i as a complex number in the standard form
    8·1 answer
  • In a certain year, when she was a high school senior, Idonna scored 620 on the mathematics part of the SAT. The distribution of
    15·1 answer
  • the base of a triangle is four more than twice its height. if the area of the triangle is 45 square centimeter., find its base a
    9·1 answer
  • Find (x,y) such that (8,2)(x,y) = (28,22)
    10·1 answer
  • Cmon answer this please <br> solve it and then list it to greatest to least
    5·1 answer
  • 1 or 2?<br><br> Look at the picture. <br> Thank u!
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!