Recovering term from sequence example

Recovering term from sequence example

IB Year 5 | Grade 11

The sum, \(S_n\), of the first \(n\) terms of the sequence \(\{u_n\}\) is given by

\[S_n = 2n^2 - 3n, n = 1, 2, 3, \dots\]

  1. Find the sum of the terms from the \(10\)th term to the \(23\)rd term of \(\{u_n\}\).
  2. Find \(u_n\) in terms of \(n\).

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Answer:(i) \(854\) (ii) \(u_n=4n-5\)

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