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Mathematics 18 Online
OpenStudy (anonymous):

last question ! @RaphaelFilgueiras

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

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

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

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

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

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

OpenStudy (anonymous):

1,-3,-7,-11,-15,-19,-23, -27 @RaphaelFilgueiras

OpenStudy (anonymous):

S8=(1-27).8/2=-104

OpenStudy (anonymous):

yay!

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