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harrystyles6 harrystyles6
  • 13-05-2015
  • Mathematics
Answered

given the arithmetic sequence 8, 5, 2, -1,..., find S20

Verified Answer :

mumsy
mumsy mumsy
  • 13-05-2015

The formula to find any term of an an arithmetic sequence is given by
\(a _{n}\)=\(a _{1}\)=(n-1)d,
where we have first term \(a_{1}\)=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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