Mathematics
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OpenStudy (anonymous):
What is the sum of the geometric sequence -4, 28, -196, if there are 6 terms?
My answer:
-9,604
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OpenStudy (anonymous):
what formula did you use?
hartnn (hartnn):
wht value of r you got ?
OpenStudy (anonymous):
an = 1 r n-1
hartnn (hartnn):
thats not correct formula for SUM
OpenStudy (anonymous):
\[an=(-4)(7)^{n-1}\] this is what i got
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OpenStudy (anonymous):
OH do i use the arthemtic
OpenStudy (anonymous):
arithmetic
hartnn (hartnn):
no...use geometric only, but sum formula
OpenStudy (anonymous):
i have the formula now
OpenStudy (anonymous):
yes thanks
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hartnn (hartnn):
\(\huge S_n = a_1 \dfrac{r^n-1}{r-1}\)
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
a1 = 1st term
hartnn (hartnn):
yes, so a1=... ?
r=... ?
hartnn (hartnn):
you want sum of 6 tems, so n=6
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OpenStudy (anonymous):
-4 = a1
hartnn (hartnn):
yes
hartnn (hartnn):
r=.... ?
OpenStudy (anonymous):
let me think
OpenStudy (anonymous):
a2/a1?
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OpenStudy (anonymous):
divide 2nd term by 1st term*
OpenStudy (anonymous):
28/-4
OpenStudy (anonymous):
= -7
hartnn (hartnn):
yes, r=-7
now just plug in values.
OpenStudy (anonymous):
ok ill tell you my answer
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OpenStudy (anonymous):
-42.8571428571
hartnn (hartnn):
no....
OpenStudy (anonymous):
plugged this in: -7(6)-1/-7 - 1
OpenStudy (anonymous):
-43/-8?
hartnn (hartnn):
you missed a1 =-4
also, don't forget about brackets
-4 [(-7)^6-1] / [-7-1]
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OpenStudy (anonymous):
5.375
OpenStudy (anonymous):
oh my error
hartnn (hartnn):
what is (-7)^6=... ?
OpenStudy (anonymous):
117649
OpenStudy (anonymous):
my calc doesn't allow me to plug in what you told me
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hartnn (hartnn):
yes, so
-4 [117648]/ (-8) = 117648/2 =... ?
OpenStudy (anonymous):
514706
OpenStudy (anonymous):
58824
OpenStudy (anonymous):
thank you:)))
hartnn (hartnn):
yes, i too get 58824
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hartnn (hartnn):
welcome ^_^
OpenStudy (anonymous):
love u
hartnn (hartnn):
love you too <3