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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 $n = 1$ . $\newline$ $a_n = 4n − 6$ $\newline$ ___, _, _, _, ___

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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 = 4n − 6

\newline

_____, _____, _____, _____, _____

Find first term: Find the first term of the sequence, $a_1$ . $\newline$ $a_1 = 4n - 6$ $\newline$ Substitute $n = 1$ into the formula to find $a_1$ . $\newline$ $a_1 = 4(1) - 6$ $\newline$ $a_1 = 4 - 6$ $\newline$ $a_1 = -2$
Find second term: Find the second term of the sequence, $a_2$ . $\newline$ $a_2 = 4n - 6$ $\newline$ Substitute $n = 2$ into the formula to find $a_2$ . $\newline$ $a_2 = 4(2) - 6$ $\newline$ $a_2 = 8 - 6$ $\newline$ $a_2 = 2$
Find third term: Find the third term of the sequence, $a_3$ . $\newline$ $a_3 = 4n - 6$ $\newline$ Substitute $n = 3$ into the formula to find $a_3$ . $\newline$ $a_3 = 4(3) - 6$ $\newline$ $a_3 = 12 - 6$ $\newline$ $a_3 = 6$
Find fourth term: Find the fourth term of the sequence, $a_4$ . $\newline$ $a_4 = 4n − 6$ $\newline$ Substitute $n = 4$ into the formula to find $a_4$ . $\newline$ $a_4 = 4(4) − 6$ $\newline$ $a_4 = 16 − 6$ $\newline$ $a_4 = 10$
Find fifth term: Find the fifth term of the sequence, $a_5$ . $\newline$ $a_5 = 4n − 6$ $\newline$ Substitute $n = 5$ into the formula to find $a_5$ . $\newline$ $a_5 = 4(5) − 6$ $\newline$ $a_5 = 20 − 6$ $\newline$ $a_5 = 14$

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