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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 $n = 1$ . $\newline$ $a_n = -5n + 10$ $\newline$ ___, _, _, _, ___

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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 = -5n + 10

\newline

_____, _____, _____, _____, _____

Find first term: Find the first term of the sequence, $a_1$ . $\newline$ $a_1 = -5n + 10$ $\newline$ Substitute $n = 1$ into the formula. $\newline$ $a_1 = -5(1) + 10$ $\newline$ $a_1 = -5 + 10$ $\newline$ $a_1 = 5$
Find second term: Find the second term of the sequence, $a_2$ . $\newline$ $a_2 = -5n + 10$ $\newline$ Substitute $n = 2$ into the formula. $\newline$ $a_2 = -5(2) + 10$ $\newline$ $a_2 = -10 + 10$ $\newline$ $a_2 = 0$
Find third term: Find the third term of the sequence, $a_3$ . $\newline$ $a_3 = -5n + 10$ $\newline$ Substitute $n = 3$ into the formula. $\newline$ $a_3 = -5(3) + 10$ $\newline$ $a_3 = -15 + 10$ $\newline$ $a_3 = -5$
Find fourth term: Find the fourth term of the sequence, $a_4$ . $\newline$ $a_4 = -5n + 10$ $\newline$ Substitute $n = 4$ into the formula. $\newline$ $a_4 = -5(4) + 10$ $\newline$ $a_4 = -20 + 10$ $\newline$ $a_4 = -10$
Find fifth term: Find the fifth term of the sequence, $a_5$ . $\newline$ $a_5 = -5n + 10$ $\newline$ Substitute $n = 5$ into the formula. $\newline$ $a_5 = -5(5) + 10$ $\newline$ $a_5 = -25 + 10$ $\newline$ $a_5 = -15$

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