Write the sum using summation notation, assuming the suggested pattern continues. (2 points)
-9 - 4 + 1 + 6 + ... + 66
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OpenStudy (anonymous):
You need to know how many #s you have in the sequence, the pattern itself and fit those two informations together. Which of them is the problematic one?
OpenStudy (anonymous):
i dont understand
OpenStudy (anonymous):
@rational
OpenStudy (anonymous):
Well... can you figure out the pattern it follows?
OpenStudy (anonymous):
Like I'm doing this without looking at the lesson because the ebook isn't working
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OpenStudy (anonymous):
@Nnesha help
OpenStudy (anonymous):
@UnkleRhaukus
OpenStudy (unklerhaukus):
Can you spot the pattern? how much do the terms go up by, each time?
OpenStudy (anonymous):
up 5
OpenStudy (anonymous):
IS it C or B
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OpenStudy (anonymous):
-9
OpenStudy (unklerhaukus):
if the first term is -9, what is in the summand?
OpenStudy (anonymous):
and it doesn't look like it goes on forever
OpenStudy (anonymous):
how do u tell if the summand is infinite?
OpenStudy (unklerhaukus):
starts at -9,
stops at 66
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OpenStudy (anonymous):
so its B
OpenStudy (unklerhaukus):
\[\sum_{i=0}^?-9+5i\]
OpenStudy (anonymous):
15 is the summand but why
OpenStudy (unklerhaukus):
how many terms are there?
OpenStudy (anonymous):
15
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OpenStudy (unklerhaukus):
then you get\[\sum_{i=0}^{14}-9+5i\]
OpenStudy (anonymous):
thanks :)))
OpenStudy (unklerhaukus):
oh, but did you count all those terms correctly?
OpenStudy (unklerhaukus):
66-(-9) = 75 = 5*15
but we started at zero, so there are 16 terms
so
\[\sum_{i=0}^{15}-9+5i\]