Question

Sigma Notation

Answer 1

Determine the geometric partial sum.In complete sentences, explain the necessary steps required to find the partial sum. Include an explanation of whether this partial sum is divergent or convergent in nature.

Answer 2

\[\large \sum_{i=1}^72\times 3^{i-1}\]

Answer 3

\(\huge \Sigma_{i=1}^5\quad 2(3)^{i-1}\quad ?\)

Answer 4

No what @satellite73 has is the equation @jdoe0001

Answer 5

really what i need to know is the second part because i can figure out the partial sum on my own

Answer 6

\( \huge \Sigma_{i=1}^{\color{red}{ 7}}\quad 2({\color{blue}{ 3}})^{i-1}\qquad \qquad S_{\color{red}{ n}}=a_1\left(\cfrac{1-{\color{blue}{ r}}^{\color{red}{ n}}}{1-{\color{blue}{ r}}}\right)\)

Answer 7

surely you can see who \(\bf a_1\) is =)

Answer 8

convergent = has a defined explicit finite value
divergent = it has no finite or defined value

Answer 9

I got 55987

Answer 10

Wait that is wrong. Crap. what is my r?

Answer 11

well... should be noticeable too

Answer 12

oh. it is 3 gotcha. alright hold on and let me recaculate this. and this is convergant.

Answer 13

oh. it is 3 gotcha. alright hold on and let me recaculate this. and this is convergant.

Answer 14

Ok so did you get 2186? and is it convergant?
@jdoe0001

Answer 15

yeap

Answer 16

Thank you so much!! You are fantastic.

Answer 17

yw