17 Answered Questions for the topic Summation


Find the sum of the infinite series below.

1/3*7 + 1/7*11 + 1/11*15 + 1/15*19 ...


Using the RN approximation, express the area under the graph f(x) = x^−3 over [1, 9] as a limit but do not evaluate.

I don't really understand integrals and summation.


Summation division property

3 ∑ 2/n n=1   The answer is 11/3. I know how to find the answer by adding up 2 + 1 + 2/3. But I want to know how to do it by the summation properties. There is a multiplication property that... more


Sigma notation with area under a curve, lower and upper rectangles

I got the answer to this problem from my teacher but I don't understand why that's the answer: y=√1+x^3 , domain 1≤x≤2 and with 50 intervals therefore width is 1/50.  The Sigma notation for the... more


Write the sum using summation notation, assuming the suggested pattern continues. -9 - 4 + 1 + 6 + ... + 66

A. summation of negative forty five times n from n equals zero to fifteenB. summation of the quantity negative nine plus five n from n equals zero to fifteenC. summation of the quantity negative... more


Summation Notation14.

Write each sum in summation notation:   (a) 1/2+ 2/3+ 3/4+ 4/5+...+10/11     (b) 2/1+ 22/2+23/3+24/4+...+210/10   Show all step by step work to the solution of the problem. Also give the... more


How many possible outcomes in an NBA season? (Explained further below)

This isn't a homework question but I'd still be interested to know the answer and how you get the answer. I'm a big basketball/NBA fan, I'm wondering how many possible outcomes in a season there... more


Summation - Exponential series

S = 1+3/1!+5/2!+7/3!......to infinity   a)e b)2e c)3e d)e-1


Sequence and series

If n     i     jΣ    Σ    Σ 1= 220i=1 j=1 k=1   Then find the value of n


Sequence and series

The value of n(sigma)i=1 i(Sigma)j=1 j(Sigma)k=1 =220, then the value of n is    (*Sigma here is the summation sign)  The options are  11,12,10,9


Sequence and series

Let a = 111....1 (55 digits), b= 1+10+10^2..+10^4, c= 1+ 10^5 +10^10 + 10^15 +..... +10^50, then which of the following is correct :   1) a=b+c 2)a=bc 3) b=ac 4) c=ab


Summation x=2 to 14, (-7x^2-9x-9) Left Riemann using 2 triangles.

Find the value of the Left Riemann using 2 rectangles.


Diverges or converges?

(infinity symbol) ∑ (n^2)/(5n^2+4) n=1   How do you know if it diverges. Please explain step by step. 


Finding a closed form for these summations?

Find a closed form for these summations?     n=100 a) ∑ 1/2    i=1           n=5b)  ∑ 1/3     i=1


Write each series with summation notation


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