need help with number 2, confused since the r is 1/2 and the answer i got with that was 32767/2048 and im not even sure if its correct
#how do i even
twilit scaffold
spice knotBOT
need help with number 2, confused since the r is 1/2 and the answer i got with t...
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harsh pagoda
thats not correct
twilit scaffold
how do i get the correct answer ? isn’t the ratio 1/2 or i’m still wrong on thay part
harsh pagoda
the ratio is 1/2
$\frac{8\left(1-\frac{1}{2^{15}}\right)}{1-\frac{1}{2}} = \frac{2^3 \times \frac{2^{15}-1}{2^{15}}}{\frac 12} = \frac{2(2^{15}-1)}{2^{12}} = \frac{2^{15}-1}{2^{11}}$
pliant treeBOT
wolfqz
twilit scaffold
this is beyond what my teacher taught me earlier my brain is flipped
wait a sec
im gonna try and figure it out
yeah
i did the same thing
harsh pagoda
ya well
twilit scaffold
wait lemme show my solution
twilit scaffold
i’m not entirely sure actually bc the formula our teacher gave us earlier was different
is it still correct if i put it in fraction form
harsh pagoda
i’m not entirely sure actually bc the formula our teacher gave us earlier was di...
did they give you this
pliant treeBOT
wolfqz
twilit scaffold
no
harsh pagoda
what did they give you
twilit scaffold
they gave me a1 (r^n-1 - 1) / r-1
harsh pagoda
if a0 is the first term, then the above formula is correct
twilit scaffold
harsh pagoda
it is the same formula
harsh pagoda
ya
twilit scaffold
is it still correct if i put my answer as 32767/2048
or theres another way to put it
harsh pagoda
its correct
twilit scaffold
bc afaik decimals aren’t allowed right?
harsh pagoda
but wanna know something cool
twilit scaffold
yes pls
harsh pagoda
If $a_0$ is the first term of the geometric progression, then $S_n$ can be written as $S_n = \frac{a_r\left(r^{n-r}-1\right)}{r-1}$
pliant treeBOT
wolfqz
twilit scaffold
so there’s basically a lot more ways to do it
thank u for the clarification and help
💌
harsh pagoda
thanksssss