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Find the first four terms of the sequence defined below, where $n$ represents the position of a term in the sequence. Start with $n = 1$ . $\newline$ $a_n = 6n − 2$ $\newline$ ___, _, _, ___

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Evaluate variable expressions for number sequences

Full solution

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

n

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

n = 1

.

\newline

a_n = 6n − 2

\newline

_____, _____, _____, _____

Find First Term: Find the first term of the sequence, $a_1$ . The formula for the $n$ th term of the sequence is $a_n = 6n − 2$ . To find the first term, substitute $n = 1$ into the formula. $a_1 = 6(1) − 2$ $a_1 = 6 − 2$ $a_1 = 4$
Find Second Term: Find the second term of the sequence, $a_2$ . Using the formula $a_n = 6n − 2$ , substitute $n = 2$ to find the second term. $a_2 = 6(2) − 2$ $a_2 = 12 − 2$ $a_2 = 10$
Find Third Term: Find the third term of the sequence, $a_3$ . Using the formula $a_n = 6n − 2$ , substitute $n = 3$ to find the third term. $a_3 = 6(3) − 2$ $a_3 = 18 − 2$ $a_3 = 16$
Find Fourth Term: Find the fourth term of the sequence, $a_4$ . Using the formula $a_n = 6n − 2$ , substitute $n = 4$ to find the fourth term. $a_4 = 6(4) − 2$ $a_4 = 24 − 2$ $a_4 = 22$

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