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Mathematics 8 Online
OpenStudy (anonymous):

Which sequence is modeled by the graph below? (Geometric sequencing!!!!) Fan/Medal

OpenStudy (anonymous):

OpenStudy (imer):

Yes, it a geometric sequence. where x-coordinate represents terms location and y-coordinate represents the value. Sequence follows; 5, 0.5, 0.05 .... To confirm use the sequence formula;\[S_{n}=\frac{ a_{1}(1-r^{n}) }{ (1-r) }\]where r= common ratio, a= first term, n= first "n" terms.

OpenStudy (imer):

You can see that the sequence have common ratio; \[\frac{ 0.5 }{ 5 }=0.1\]and\[\frac{ 0.05 }{ 0.5 }=0.1\]

OpenStudy (imer):

Please use the equation editor in the bottom. Do you mean? \[a_{n} = 3(1)^{n-1} \] ...

OpenStudy (imer):

Seems like the options are incorrect, there is no way you can get "5" using "n=1"

OpenStudy (anonymous):

oh im sorry I was looking at the same problem but different problem an = 5(−10)^(n − 1) an = 0.5(10)^(n − 1) an = one tenth(5)^(n − 1) an = 5(one tenth)^(n − 1)

OpenStudy (anonymous):

\[ok\]

OpenStudy (imer):

Correct, last option is right.

OpenStudy (anonymous):

sweet ok now ummm

OpenStudy (anonymous):

I think its a_n = 3(1)^(n − 1)

OpenStudy (imer):

remember "1^anything" will always be "1" so it can not be a correct answer and please post all the options.

OpenStudy (anonymous):

a_n = 3(1)^(n − 1) a_n = 1 + (3)^(n − 1) a_n = (3)(n − 1) a_n = 1(3)^(n − 1)

OpenStudy (imer):

what you think is the correct option now?

OpenStudy (imer):

All you need to do is put the x-coordinate in place of "n" and confirm the y-coordinate (the answer)

OpenStudy (imer):

\[3(1)^{1-1}=3\] but at x=1, y=1 so its incorrect. \[1+(3)^{1−1}=1+1=2\]which is also incorrect. \[3(n-1)=3(1-1)=0\]Last one;\[(1)(3)^{1-1}=1\] seems to be correct, lets check the second term by putting "n=2" where "x=2", "y=3"\[(1)(3)^{2-1}=(1)(3)^{1}=3\]

OpenStudy (imer):

So which option is correct?

OpenStudy (anonymous):

the last one? its the only one that would make sense in my opinion

OpenStudy (imer):

Yes, the last one is the correct answer.

OpenStudy (anonymous):

thank you :)

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