# Chapter 8 - Sequences, Induction, and Probability - Exercise Set 8.2 - Page 724: 29

Formula for $a_{n}$ term of the given sequence = $a_{1}$ + (n - 1) d. Where $a_{1}$ = The first term d = Common difference n = $n^{th}$ number of term Given $a_{1}$, the first term = (-20) Common difference (d) = (-4) $20^{th}$ term of sequence = -96

#### Work Step by Step

Formula for $a_{n}$ term of the given sequence = $a_{1}$ + (n - 1) d. Where $a_{1}$ = The first term d = Common difference n = $n^{th}$ number of term Given $a_{1}$, the first term = (-20) Common difference (d) = (-4) $20^{th}$ term of sequence = -20 + (20 - 1) $\times$ (-4) = -20 + 19$\times$(-4) = -20 -76 = -96

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