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How do I solve this series like these?
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\[\sum_{k=1}^{425}(9k-3219)\]
see its forming an arithmetic series
Find the 1st and Last terms using the formula, add them together and divide by 2 (take the average of the first and last terms) then multiply the amount of terms 424 in this case.
first term -3210 second -3201 third -3192
@jojokiw3 as @owikbenstan told just plug k = 1 u will get first term and k = 425 u wil get last term and \[S_n = \frac{ n }{ 2 }(a_1 + a_n)\]
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-553350
\[\sum_{k=1}^{n} k=\frac{n(n+1)}{2} \\ \sum_{k=1}^{n} c= c \cdot n\] you can also use these
@jojokiw3 yup @owikbenstan it should be 425
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