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Mathematics 18 Online
OpenStudy (anonymous):

Find the sum of the arithmetic series.

OpenStudy (anonymous):

11 + 15 + 19 +... + 83

hartnn (hartnn):

common difference d= ... ?

hartnn (hartnn):

yes, now you only need number of terms n to be able to use the formula

OpenStudy (anonymous):

83?

hartnn (hartnn):

no, thats tn = last term we need n

hartnn (hartnn):

use this formula tn = t1+ (n-1)d where t1 = first term =11 tn = 83 d=4

hartnn (hartnn):

you'll get, n :)

OpenStudy (anonymous):

oh 339?

hartnn (hartnn):

noo...

hartnn (hartnn):

83 = 11 + (n-1)*4

OpenStudy (anonymous):

ohh ok I see what you did, it's a little different from the last one you helped me with...

hartnn (hartnn):

yep, in last one, n was known, here we need to find it

OpenStudy (anonymous):

ok so n= 19

hartnn (hartnn):

yes!

hartnn (hartnn):

and overall sum =... ?

OpenStudy (anonymous):

893

hartnn (hartnn):

\(\huge \color{red}{\checkmark \quad \ddot \smile}\)

OpenStudy (anonymous):

how did you write that cool smiley face? haha

hartnn (hartnn):

using latex! to make that smiley and checkmark, i used this code `\(\huge \color{red}{\checkmark \quad \ddot \smile}\)`

OpenStudy (anonymous):

wow that's cool! I may post another question because now I'm working with geometric series.. hopefully you'll be on... thanks for the help!

hartnn (hartnn):

sure :)

OpenStudy (anonymous):

\(\huge \color{red}{\quad \ddot \smile}\)

hartnn (hartnn):

you learn quickly! :D

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