What is the sum of a 52-term arithmetic sequence where the first term is 6 and the last term is 363?

1 Answer
Henry W.
Oct 29, 2016

#sum_(k=6)^363=9594#

Explanation:

Sum of an arithmetic sequence: #S_n=n/2(a_1+a_n)#, where #a_1# is the first term and #a_n# is the last term.

Sigma notation: #sum_(k=6)^52=52/2(6+363)=9594#

#:.# the sum of the AP is #9594#

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