Find the sum of the first 9 terms in the arithmetic sequence 45, 40, 35, 30, …
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OpenStudy (ajprincess):
what is the first term and common difference here?
OpenStudy (anonymous):
45 -5
OpenStudy (ajprincess):
ya good:)
OpenStudy (anonymous):
:)
OpenStudy (anonymous):
...
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OpenStudy (ajprincess):
the formula to find the nth term is
a_n=a_1+(n-1)d
sousing this can you find the 9th term
OpenStudy (ajprincess):
otherwise directly use this formula to find the sum.
S_n=(2a_1+(n-1)d)*(n/2)
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
9=45+(9-1)-5
OpenStudy (ajprincess):
\(a_9=45+(9-1)*(-5)\)
\(=?\)
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OpenStudy (anonymous):
48
OpenStudy (ajprincess):
what is 9-1=?
OpenStudy (anonymous):
8
OpenStudy (ajprincess):
ya:)
8*(-5)=?
OpenStudy (anonymous):
-48
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OpenStudy (ajprincess):
nope:(
OpenStudy (anonymous):
-40
OpenStudy (ajprincess):
ya:)
-40+45=?
OpenStudy (anonymous):
5
OpenStudy (anonymous):
Thank you the answer is 5
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OpenStudy (ajprincess):
ya:) that is ur 9th term. nw u knw the first term and last term of the ap whose sum u need to find
OpenStudy (ajprincess):
the sum=(n/2)*(a_1+a_9)
OpenStudy (ajprincess):
did u find the sum?
OpenStudy (anonymous):
I dont think I need the sum
OpenStudy (anonymous):
oh nvm I do need it
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OpenStudy (anonymous):
45+40+35+30+25+20+15+10+5
OpenStudy (anonymous):
225
OpenStudy (ajprincess):
the question is to find the sum. to do that u can use the formula.
S_n=(n/2)*(a_1+a_n)
=(9/2)(45+5)
=(9/2)(50)
=9*25
=225
u dnt have to write all the terms nd add them
ya u r right:)