Question

Which of the following graphs could be a representation of a geometric sequence?

Check all that apply.

Graph A, B, C or D (I have them attached below)

Please explain how I know because I have more like this!

Answer 1

c it will be

Answer 2

i say C as well

Answer 3

But let's put some sense to this!
we first analyse graph a
it doesn't look like there is some recognizable pattern so discard it
b:
for b there is a pattern but it is not for a geometric sequence
it looks that we are subtracting 2 each time (Arithmetic sequence)
I jump c
go to d
Again it is I don't see a pattern to function sort of jumping from and there is no uniformity if you like to call it
then go back to c
We started from 5 for n=0
then for n=1 we have 2.5
then n=2 we have 1.25
for n=3 we have 0.625 that's how the graph seems to be
Then we say Ahah
some pattern is in here
from 5 to 2.5 we divided by 2 okay
then let's see 2.5/2=1.25 oh great it looks like it is working
let's see again 1.25/2=0.625 terrific
this is a pattern for a geometric sequence! the common ration is 1/2
which means each time we are diving by 1/2
but you would say hold a sec how would i know that for n=1 that's 2.5
well I agree with you if you ask me lol. what i did is analyse what that could be
since it is above 2 looks like in the middle from 2 to 3 then i do the same thing with the rest. After, I make sure that indeed im dividing by 2 each time comparing the result with the graph

Answer 4

I mean each time we are multiplying by 1/2 meaning we are diving by a half
sorry * little correction