Macdonald Pena
07/19/2024 · High School

(1) Consider the following triangular array of odd numbers: \[ \begin{array}{llllllll}21 & 23 & 25 & 27 & 29\end{array} \] Find an expression, in terms of \( n \), for (1) \( \quad \) the first number in the \( n \)-th row. (2) the average of all the numbers in the \( n \)-th row.

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1. The first number in the \( n \)-th row is \( n^2 - n + 1 \). 2. The average of all the numbers in the \( n \)-th row is \( n^2 \).

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