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Mathematics 15 Online
OpenStudy (anonymous):

how do you type the infinity sign on a graphing calculator ?

OpenStudy (amistre64):

1E99

OpenStudy (anonymous):

i just write it out ?

OpenStudy (anonymous):

it says error

OpenStudy (amistre64):

thats calculator for: 1x10^(99)

OpenStudy (anonymous):

which model

OpenStudy (anonymous):

TI - 84 plus

OpenStudy (amistre64):

your comma button has an EE atop it, shift to get it

OpenStudy (anonymous):

oh i see it now , hold up

OpenStudy (austinl):

Do you have a TI-89? These bad boys have an infinity BUTTON!! :D

OpenStudy (anonymous):

oh no i have a 84 /:

OpenStudy (hihi67):

lol @austinL

OpenStudy (amistre64):

ti84 is the most ill go ... after that they started having to have terabytes for the instruction manuals and i gave up :)

OpenStudy (anonymous):

@amistre64 it says EE but you said it was IE99

OpenStudy (austinl):

Same thing :)

OpenStudy (amistre64):

it not my fault they cant type lol

OpenStudy (austinl):

Button likely says EE, but on screen it should say E

OpenStudy (anonymous):

ok lemme try

OpenStudy (amistre64):

the output on the screen is still: one: 1 2nd, , : E 99: 99

OpenStudy (anonymous):

is it a one or an I ?

OpenStudy (amistre64):

they might have done that to distinguish it fromthe alpha E key :/

OpenStudy (amistre64):

an i is not a real numerical value

OpenStudy (austinl):

"Imaginary"

OpenStudy (amistre64):

i^k is one of 4 values ... why are you needing an infinity?

OpenStudy (anonymous):

Find the sum of the infinite geometric series, if possible. Show steps, if possible. \sum_{{j}={1}}^{\infty}4 \cdot 0.5^{j-1}

OpenStudy (anonymous):

hold up

OpenStudy (anonymous):

\[\sum_{{j}={1}}^{\infty}4 \cdot 0.5^{j-1}\]

OpenStudy (amistre64):

\[\sum_{{j}={1}}^{\infty}4 \cdot 0.5^{j-1}\] \[\sum_{{j}={1}}^{\infty}4 \cdot 0.5^{j}~.5^{-1}\] \[\frac{4}{.5}\sum_{{j}={1}}^{\infty}0.5^{j}\]

OpenStudy (anonymous):

aha now what ? lol

OpenStudy (amistre64):

is .5 less than 1?

OpenStudy (amistre64):

theres a formula for this ....

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

whats the formula ? im sorry my teacher doesnt give me all this info /:

OpenStudy (amistre64):

\[\frac{1-r^k}{1-r}\] if r < 1, then the limit as k to infinity is \[\frac{1}{1-r}\]

OpenStudy (anonymous):

whats r though ? the common ratio ?

OpenStudy (anonymous):

but would it be possible to find the sum ?

OpenStudy (amistre64):

let me rechk my thought tho ... S = r + r^2 + r^3 + ... + r^n -rS = - r^2 - r^3 - ... - r^n - r^(n+1) ----------------------------------- (1-r)S = r + 0 ..........................- r^(n+1) S= r - r^(n+1) ----------- 1 - r

OpenStudy (amistre64):

if r < 1 then that exponented part goes to 0 leaving us: S = r/(1-r) for the sum

OpenStudy (amistre64):

might be better stated the |r| < 1, but why nitpick

OpenStudy (amistre64):

\[\frac{4}{.5}\sum_{{j}={1}}^{\infty}0.5^{j}\] \[\frac{4}{.5}~\frac{.5}{1-.5}\] \[\frac{4}{.5}=8\]

OpenStudy (anonymous):

thanks soooo much !

OpenStudy (amistre64):

youre welcome, as far as i know the ti84 does not have an infinite sum function

OpenStudy (anonymous):

yes im aware haha

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