What do temporal and spatial summations have in common?

(sorry in advance if the equation looks confusing, I will try to make it as clear as possible) In a solution to a homework problem it stated: (n/2) * [Summation from i=0 to i=(k-1)] of (1) minus [summation from i=0 to i=(k-1)] of (i) plus 1 equals (n...

In Excel, I have 2 columns of 50 random values (numbers). I need each number from each column to be added to each other once. That's a total of 2,500 summations of the two numbers. Do I need to run a macro? I'm not new to Excel, so any help here would...

Evaluate the following summations: (a) Σ(k=1 to n) k^4 = n (n+1) (2n+1) (3n^2+3n-1) / 30 (b) Σ(k=0 to n) (-1)^k C(n, k) = 0 (c) Σ(k=4 to n) [(k-1) (k-2) (k-1) k (k+1) (k+2)] = ...show more

Is there a way to calculate how many 2x2 matrices that can be generated by a larger {n x 2} matrix? Constraints: Must be combinations of rows Rows can be repeated ex: [13] 1 12 2 11 3 10 4 9 5 8 6 7 ex: Two 2x2 matrices that can be generated from the...

A flexible garden hose is coiled for storage. Each subsequent loop is 6 inches longer than the preceding loop, and the innermost loop is 34 inches long. If there are 6 loops, how long is the hose? ______ in. Enter only a number as your answer. I tried...

an = e^ (n/(n+1)) What would the sum to N, SN, for this expression from n=1 to n=N. (I.e. for ∑n between n=1 and n=N SN = N(N+1)/2 What about ∑e^ (n/(n+1)) between n=1 and N ? Thanks. (Ps - does this follow geometric version of sn in anyway?...