An arithmetic progression has first term $1$ and common difference $2$. The terms of this arithmetic

Question

An arithmetic progression has first term $1$ and common difference $2$. The terms of this arithmetic progression are grouped into sets containing $1$, $2$, $3$, $4$, … terms, as indicated below.

$\{1\}$, $\{3, 5\}$, $\{7, 9, 11\}$, $\{13, 15, 17, 19\}$, $\{21, 23, 25, 27, 29\}$, …

Find the last term in the $100$$^{\mathrm{th}}$ set.[3]

Accepted Answer

$10099$

2015 ACJC Promo Q4 (b)

2015 ACJC Promo Q4 (b)

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