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Find the first five terms of the sequence defined below, where $n$ represents the position of a term in the sequence. Start with $n = 1$ . $\newline$ $a_n = -10n + 2$ $\newline$ ___, _, _, _, ___

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Evaluate variable expressions for number sequences

Full solution

Q. Find the first five terms of the sequence defined below, where

n

represents the position of a term in the sequence. Start with

n = 1

.

\newline

a_n = -10n + 2

\newline

_____, _____, _____, _____, _____

Find first term $a_1$ : $a_n = -10n + 2$ $\newline$ Find the first term of the sequence, $a_1$ . $\newline$ $a_n = -10n + 2$ $\newline$ $a_1 = -10(1) + 2$ $\newline$ $a_1 = -10 + 2$ $\newline$ $a_1 = -8$
Find second term $a_2$ : $a_n = -10n + 2$ $\newline$ Find the second term of the sequence, $a_2$ . $\newline$ $a_n = -10n + 2$ $\newline$ $a_2 = -10(2) + 2$ $\newline$ $a_2 = -20 + 2$ $\newline$ $a_2 = -18$
Find third term $a_3$ : $a_n = -10n + 2$ $\newline$ Find the third term of the sequence, $a_3$ . $\newline$ $a_n = -10n + 2$ $\newline$ $a_3 = -10(3) + 2$ $\newline$ $a_3 = -30 + 2$ $\newline$ $a_3 = -28$
Find fourth term $a_4$ : $a_n = -10n + 2$ $\newline$ Find the fourth term of the sequence, $a_4$ . $\newline$ $a_n = -10n + 2$ $\newline$ $a_4 = -10(4) + 2$ $\newline$ $a_4 = -40 + 2$ $\newline$ $a_4 = -38$
Find fifth term $a_5$ : $a_n = -10n + 2$ $\newline$ Find the fifth term of the sequence, $a_5$ . $\newline$ $a_n = -10n + 2$ $\newline$ $a_5 = -10(5) + 2$ $\newline$ $a_5 = -50 + 2$ $\newline$ $a_5 = -48$

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