What is the sum of the first 18 terms of the arithmetic series 11 + 15 + 19 + 23 + ⋯?
all I really used is that \(\sum_{i=1}^ni=\frac{n(n+1)}{2}\)
is it 810 ?
\(\sum_{n=1}^{18}7+4n=\sum_{n=1}^{18}7+4\sum_{n=1}^{18}n=18*7+4(\frac{18*19}{2})=810\)
yes:)
thanks
how did you do it, so I know how to explain it to others without the notation and method I used.
i did it the hard way just adding 4 to every number and just add until you reach the 18th term
oh well notice with my way you can now do the 1200000th term
just change where you see an 18 to 1200000
yeah and thanks
ok good luck, if you ask another someone else might have an easier way. I know there is, but I never studied arithmetic sequences....
there is a simple formula for sum of terms in an arithmetic sequences. you just need 1st term, common difference and number of terms
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