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Mathematics 15 Online
OpenStudy (anonymous):

do anyone know how to figure this problem out.. evaluate the series ∑_(k=1)^4▒〖(4k+1)〗

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

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, \[ \sum \limits_{k= 1 }^n (4k+1) = 3 n+2 n^2 \]

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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