Question

Is there any pattern to rewriting a series as ∑.
Like if you have a certain series-pattern....

Answer 1

I took trig last year.

Answer 2

if you can determine a rule for the sequence, then yes if i read this right

Answer 3

I am asking if there is a logical pattern or rule to how to determine the rule of the sequence.
Like a certain way of thinking for that?
Can you show me based on an example?

Answer 4

if you have an example, i could consider it. Not all sequences can be patterned ... a random sequence for example is by detault, not patternable :)

Answer 5

Hold on, ur saying that not every sequence or series can be written using a ∑?
Can you prove that?

Answer 6

6,5,4,6,66,6,41,64,64,3,3,6,96461,6,41631,4,7,77,441,61,8,7,66,3,84,41631,...

all i did was hit randomly on the numberpad ...

Answer 7

is that really considered to be a series or sequence?

(you either have a really really good comp, or couple tabs open. The comp can't be that instant so....)

Answer 8

a random sequence, is by default .... random. it follows no definable rule

Answer 9

OK, it could be a sequence, but that is not a series, b/c series by definition means order, so a series always can be written using a ∑, or not?

Answer 10

a sequence is just a list of number in a specific order.

A series is the sum of the elements of a sequence.

Answer 11

Yeah forgot that! so it could be tnx!
You deserve a medal for wasting all this time on me, you probably only done this to get the medal. i understand you, and for sure will.... thank you!

Answer 12

a series does not define order; its simply the sum of a sequence. If that sequence can be generated by a determined rule; then the summation notation has some useful features that can be applied.

Answer 13

I closed this question just now.

Answer 14

I understand, thank you!

Answer 15

why would you presume i only do this for a medal? i do this to teach and learn.

Answer 16

R U a teacher or something?

Answer 17

not a teacher yet. I am working on getting a masters in math ... maybe a phd. my goal is to be a college math teacher tho.

Answer 18

I am turning 17.
Are you inrolled in high-school?

Answer 19

i typed this b/f your response, don't think I am stupid.

Answer 20

17 eh ... its been decades since I was in high school

Answer 21

Oh! That would make sense also based on your scores.

Answer 22

you have any math goals? or just a hobby?