The sum of the first "n" terms of a series is Sn = n^2 + 4n. Find t1, t2, t3
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OpenStudy (shamim):
ok
OpenStudy (shamim):
u wrote\[s _{n}=n ^{2}+4n\]
OpenStudy (shamim):
sorry
OpenStudy (shamim):
need time
OpenStudy (anonymous):
kk np
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OpenStudy (raden):
t1 = a1 = S1
put n=1 to Sn
OpenStudy (shamim):
i think the series will b 5+7+9+.....................+(2n+3)
OpenStudy (shamim):
so t1=5
t2=7
t3=9
OpenStudy (anonymous):
Can I get explanations on how to do it? o.O Not just the answers?
OpenStudy (shamim):
if u put n=1 u will get 2n+3=2*1+3=5
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OpenStudy (shamim):
so t1=5
OpenStudy (anonymous):
Why do you put n=1? How do you know to make it 1 and not any other number? o.O
OpenStudy (shamim):
when n=1 we will get the first term of the series
OpenStudy (shamim):
when we will put n=2 in (2n+3) then we will get the second term of the series
OpenStudy (anonymous):
wait if u put in the second term doesnt that equal the first term plus the second term?
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OpenStudy (shamim):
no
OpenStudy (shamim):
when u will put n=2 in the equation \[s _{n}=n ^{2}+4n\]
OpenStudy (anonymous):
because the equation Sn = n^2 + 4n is for the sum and n is the terms in the series. So if you put 1 in you'll get the first term because it doesnt get added to anything, but if you put 2 terms in the equation you will get t1 + t2
OpenStudy (shamim):
then u will get the sum of 1st term and second term
OpenStudy (anonymous):
Yea okay lol thats wat i meant
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OpenStudy (anonymous):
so youd have to subtract the previous terms to get the one ur looking for. Correct?
OpenStudy (shamim):
ya
OpenStudy (anonymous):
Kay! Thank you! :)
OpenStudy (shamim):
thanks for medal
OpenStudy (shamim):
welcome
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OpenStudy (anonymous):
Np you deserved it ^_^
OpenStudy (shamim):
anyway may i know the name of ur country and class
OpenStudy (anonymous):
United States and I'm taking Pre-calculus right now
OpenStudy (shamim):
which class u r reading
OpenStudy (anonymous):
?
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OpenStudy (shamim):
i mean r u a student of Advance level or something else
OpenStudy (anonymous):
Um... I don't know what you call it from where you're from, but I'm taking Honors Pre-Calc which is like the more advanced course of Pre Calc here ^_^
OpenStudy (shamim):
understood
OpenStudy (shamim):
i m frm bangladesh
OpenStudy (anonymous):
I see! Nice to meet you ^_^
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