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Mathematics 24 Online
OpenStudy (saiyan):

Help I don' t understand how to do this question! I will give medals

OpenStudy (saiyan):

OpenStudy (saiyan):

I think it is b

OpenStudy (irishboy123):

\(S = 4 + 3 + 2 + .... + \ (-14) + \ (-15)\) but reverse it and: \(S = (-15) + (-14) + ... + \ 3 + \ 4\) so \(2S = S + S = \ ...???\)

OpenStudy (irishboy123):

-15 + 4 = -11 -14 + 3 = -11 etc etc

OpenStudy (saiyan):

yeah i tried that and i got -130

OpenStudy (saiyan):

4+3+2+1+0-1-2-3-4-5-6-7-8-9-10-11-12-13-14-15-16

OpenStudy (jdoe0001):

@Saiyan what would be the 1st term in the sequence?

OpenStudy (saiyan):

what do u mean

OpenStudy (irishboy123):

-130 !!! you have 20 terms in the sequence, right?!?! as you're summing from n = 1 to 20

OpenStudy (irishboy123):

continue with this and you will get there

OpenStudy (jdoe0001):

well, is a sequence , notice \(\large \bf \sum\limits_{n=1}^{20}\quad (5-n)\qquad thus\qquad a_1=?\)

OpenStudy (jdoe0001):

\(\large a_1=first\ term=?\)

OpenStudy (jdoe0001):

\(\large \begin{array}{llll} \sum\limits_{{\color{brown}{ n=1}}}^{20}\\ \ \uparrow \\ hint \end{array}\)

OpenStudy (irishboy123):

so that's 20 x (-11) / 2 yes?

OpenStudy (saiyan):

yeah

OpenStudy (jdoe0001):

ahemmm using \(\large S_n=\cfrac{n}{2}(a_1+a_n)\) yes

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