Mathematics
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OpenStudy (anonymous):
Find the sum of the arithmetic series.
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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
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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
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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 =... ?
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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!
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hartnn (hartnn):
sure :)
OpenStudy (anonymous):
\(\huge \color{red}{\quad \ddot \smile}\)
hartnn (hartnn):
you learn quickly! :D