Question

Which of the folowing is both ariphmetic and geometric series?
1) 0 1 2 3 4 5 6
2) 1 2 4 8 16 32
3) 2 2 2 2 2 2 2
4) 1 1 2 3 5 8 13

Answer 1

ariphmetic ???

Answer 2

there is no such series, one that is both geometric and arithmetic

Answer 3

Difference zero (arithmetic)
Common ratio 1 (geometric).

For example option 3. LOL

Answer 4

what is geometricc and ariphmetic serieses?
I don't know

Answer 5

that suppose to be arithmetic
so geometric when terms are increasing or dividing by same number
arithmetic when terms are adding or subtracting by same number

Answer 6

multiplying**** not increasing

Answer 7

i gues the 2 2 2 2 2 2 2 2

Answer 8

ok, so the answer is 2 2 2 2 2 2 2. Thank you

Answer 9

i am fairly sure that you do not consider the constant series geometric, but i guess i could be wrong

Answer 10

Well, I wouldn't think there is REALLY such a thing as a series that is arithmetic and geometric at the same time though.
Aren't the numbers supposed to be changing somehow ?

Answer 11

@EmmaMink

Answer 12

sort of like saying
\[f(x)=1^x\] is exponential

Answer 13

LOL, yeah:) (that can be a proof that all numbers are equal. 1^3=1^4=1^0 ... 3=4=0 )

Answer 14

And yes, 2222222 is correct. Arithmetic and Geometric sequences are true when you add the same number and subtract the same number. Check: 2 + 2 - 2 = 2!

Answer 15

So for 0 0 0 0
Check: 0 + 0 - 0 = 0! ?

Answer 16

I gave you a medal ttb123456789

Answer 17

another $20 says this was written by the morons at FLVS

Answer 18

Emma your conclusion gives that 2 2 2 2 2 is arithmetic and geometric, but 0 0 0 0 0 is what then ?

Answer 19

http://www.purplemath.com/modules/series3.htm

Answer 20

I found a site that explains this.

Answer 21

i have no idea why the state of florida condones this kind of nonsense
i guess they really do not know any better

Answer 22

i;m in WI

Answer 23

Well whatever party people Emma is out! Peace!!!

Answer 24

I think no sites can be better than good math solvers. you are all good math solvers

Answer 25

Well if I'm good give me medal. EMMA WANT MEDAL!!!!! GIMME!!!

Answer 26

jk i dont deserve 1

Answer 27

@EmmaMink ASKING FOR MEDALS DIRECTLY, IS A VIOLATION OF THE oPENsTUDY POLICY!

Answer 28

unless it is a joke of course. But then how do you know ?

Answer 29

1+1+1+1+1+1+.........is both arithmetic and geometric

Answer 30

Cause I said jk I don't deserve one? jk means just kidding.

Answer 31

Surjithayer, how about
0 + 0 + 0 + 0 + 0 ?

Answer 32

i think 0 is not allowed as a term in geometric series

Answer 33

how to calculate common ratio?

Answer 34

so your question makes no sense

Answer 35

Yes, ganeshie that would make sense, because multiplying zero wouldn't change it.

Answer 36

Wait, how about negative integers?

Answer 37

see the definition
http://mathworld.wolfram.com/GeometricSeries.html

Answer 38

1+1+1+1+1+1+.........is both arithmetic and geometric
i would disagree
first of all, it is not a sequence it is a series

Answer 39

if the ratio of two consecutive terms is constant then it is geoemtric. the definition is not particular about negatives/postives... but you cannot have 0 as a term because the geometric series is based on "ratio" of consecutive terms

Answer 40

secondly if you mean the series of partial sums, they are

\[1,2,3,4,5,...\] which is a sequence, but not a geometric one

Answer 41

oops make that "sequence of partial sums"

Answer 42

1+1+1+1+1+1+... meets the definition of geometric series right ?

Answer 43

\[1+ 1 + 1 + 1 + 1...\] has no meaning i can discern \[\sum_{k=1}^{\infty}k\] is not a number

Answer 44

maybe lets call it degenerated series or whatever, but i don't see how it violates the definition