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OpenStudy (anonymous):
do anyone know how to figure this problem out..
evaluate the series
∑_(k=1)^4▒〖(4k+1)〗
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OpenStudy (amistre64):
k=[1,4] i assume
OpenStudy (anonymous):
what is the upper limit of the sum? what is that big black square?
OpenStudy (amistre64):
then its just a matter of summing up the sequence generated by the equation
OpenStudy (amistre64):
the ^ tends to mean up
OpenStudy (amistre64):
up ^ there, and down_there
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OpenStudy (anonymous):
@fool for math yes its like that
OpenStudy (anonymous):
You want \[ \sum \limits_{k\to 1 }^4 (4k+1) =\] ?
OpenStudy (anonymous):
Then the answer is 44
OpenStudy (amistre64):
first plus last times number of terms divided by 2
OpenStudy (anonymous):
For more rigorous users,
\[ \sum \limits_{k= 1 }^n (4k+1) = 3 n+2 n^2 \]
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OpenStudy (anonymous):
If you sub explicit def into Gauss formula you don't need last term\[s=\frac{n}{2}(2a _{1}-(n-1)d)\]just fyi
OpenStudy (amistre64):
i only got so many brain cells left that fire on all cylindars ;)
OpenStudy (amistre64):
i do good just to recall the form much less nuances ;)
OpenStudy (anonymous):
@Mandolino:Yes or you could use Arithmetic progressions
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