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given the arithmetic sequence 8, 5, 2, -1,..., find S20
The formula to find any term of an an arithmetic sequence is given by [tex]a _{n} [/tex]=[tex]a _{1} [/tex]=(n-1)d, where we have first term [tex] a_{1} [/tex]=8, and d which is the common difference , and n is the term we need to find (in our case is 20) the difference d=3, as you see each number is the previous minus 3 for S20=8+(20-1)*(-3)=8+(19)*(-3)=8-57=-49 S20=-49, this the 20th term
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