Mathematics
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OpenStudy (anonymous):
last question ! @RaphaelFilgueiras
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OpenStudy (anonymous):
Find the sum of the first 8 terms of the sequence. Show all work for full credit.
1, -3, -7, -11, ...
OpenStudy (anonymous):
i's the same formula aas before
OpenStudy (anonymous):
what is the ratio?
OpenStudy (anonymous):
like how much its increasing?
OpenStudy (anonymous):
yes
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OpenStudy (anonymous):
-3
OpenStudy (anonymous):
-4
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
an=a1+(n-1).r
OpenStudy (anonymous):
find a8 and the use the prevously formula
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OpenStudy (anonymous):
a8 would be -27 right?
OpenStudy (anonymous):
im confused
OpenStudy (anonymous):
i dont get that formula
OpenStudy (anonymous):
yes i's -27
OpenStudy (anonymous):
Sn=(a1+an).n/2
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OpenStudy (anonymous):
what is a1? the first term?
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
so it would be Sn=(1+
OpenStudy (anonymous):
what is an? @RaphaelFilgueiras
OpenStudy (anonymous):
a1,a1+r,a1+2r,...,a1+(n-3).r,a1+(n-2).r,a1+(n-1).r
see if um sum the last with the first therm the result is the same as the second with penultimate
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OpenStudy (anonymous):
that were that formula come from, an is the last therm
OpenStudy (anonymous):
1,3,5,7,9
1+9=7+3 and 5 =10/2
OpenStudy (anonymous):
ahhh im confused
OpenStudy (anonymous):
so this is the question
Find the sum of the first 8 terms of the sequence
OpenStudy (anonymous):
then we have ((n-1)/2)(a1+an)+(a1+an)/2=(a1+an).n/2
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OpenStudy (anonymous):
S8=(a1+a8).8/2
OpenStudy (anonymous):
so the answer would just be 4? @RaphaelFilgueiras
OpenStudy (anonymous):
no, look at the fisrt therms do uou think that sum can be 4?
OpenStudy (anonymous):
not at all hahaha
OpenStudy (anonymous):
at least it must be a negative number lol
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OpenStudy (anonymous):
1,-3,-7,-11,-15,-19,-23, -27 @RaphaelFilgueiras
OpenStudy (anonymous):
S8=(1-27).8/2=-104
OpenStudy (anonymous):
yay!