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aamy aamy
  • 12-01-2017
  • Mathematics
Answered

Find the 133rd term in the sequence: -7, -2, 3, 8

Verified Answer :

LammettHash
LammettHash LammettHash
  • 12-01-2017

There is a common difference between terms of 5, which means the sequence is given recursively by

\(\begin{cases}a_1=-7\\a_n=a_{n-1}+5&\text{for }n>1\end{cases}\)

and explicitly by

\(a_n=-7+5(n-1)=5n-12\)

This means the 133rd term in the sequence is \(a_{133}=5(133)-12=653\)

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