Sigma notation Definition and 60 Threads

[a]1. Homework Statement [/b] Evaluate: 12 \sum (6n + 1) n=5 2. The attempt at the solution So, how do i go about doing this? I tried finding the first three numbers of the series to find the difference by substituting n = 5,6,7 and then use the Sum formula S = n/2[2a +...

I've kind of got this approximating the area of a plane region down, but I don't know what i really is. The book calls it the "index of summation", which might as well be a foreign language. On a similar note, what is c sub i? Thanks.

must express this series using sigma notation 5+5+5/2+5/6+5/24+... i would be extremely grateful for some help I know that you use the infinite symbol and it goes above sigma and then n=1 below it. i also have used the arithmetic series equations and geometric equations on several...

Even though this question deals mostly with arithmetic and geometic series, this notation is used in linear algebra and differential geomety quite a bit so I will inquire of this matter here. What are the rules for algabreically dealing with sigma notation. When you change the value of an...

Help! We need to solve the following problem: ∞ r-1 find x if ∑ (3x/2) = 4 r=1 We know the answer is 1/2, but we have no idea how they got that answer. Can anyone help? Thanks, Sammie

Trying to help my son & I am in Waaaaay over my head. He has a string of numbers and needs to come up with the correct Sigma Notation equation. 3, 6, 12, 24, 48, 96

Okay, I think this problem relates with sigma notation (I'm not good at it) the sequence given is 2, 4, 8, 16, 32 ... It wants you to find the sum from 1-50 So the equation thing is 2^N? How do you find all the sums again...? Thanks

Show that: \sum_{k=0}^{N} a_k = \sum_{k=M}^{M+N} a_{k-M} I did this, my answer is: \sum_{k=0}^{N} a_k = a_0 + a_1 + a_2 + ... + a_N \sum_{k=M}^{M+N} a_{k-M} = a_{M-M} + a_{M+1-M} + a_{M+2-M} + ... + a_{M+N-M} = a_0 + a_1 + a_2 + ... + a_N Now, I have to use this to prove that: \sum_{k=M}^{N}...

Series and "Sigma" Notation I have been revising over the sigma/sequences and series chapters, this is the second question now where i have had different answers to the book - yet- my answers seem to work - i think... The question : Write in \sum notation 1 - 2 + 4 - 8 + 16 - 32...

7 ---- \ / 1 <- *note: the 1 should be more to the right. ---- N=3 Ok, this might be dumb :blushing: , but it think the answer for this is 1 but I'm just making sure. cuz i know that for example if it is 7 ---- \ /...