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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 $n = 1$ . $\newline$ $a_n = 7n + 8$ $\newline$ ___, _, _, _, ___

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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 = 7n + 8

\newline

_____, _____, _____, _____, _____

Find first term $a_1$ : Find the first term of the sequence, $a_1$ . To find $a_1$ , we substitute $n = 1$ into the formula $a_n = 7n + 8$ . $a_1 = 7(1) + 8$ $a_1 = 7 + 8$ $a_1 = 15$
Find second term $a_2$ : Find the second term of the sequence, $a_2$ . To find $a_2$ , we substitute $n = 2$ into the formula $a_n = 7n + 8$ . $a_2 = 7(2) + 8$ $a_2 = 14 + 8$ $a_2 = 22$
Find third term $a_3$ : Find the third term of the sequence, $a_3$ . To find $a_3$ , we substitute $n = 3$ into the formula $a_n = 7n + 8$ . $a_3 = 7(3) + 8$ $a_3 = 21 + 8$ $a_3 = 29$
Find fourth term $a_4$ : Find the fourth term of the sequence, $a_4$ . To find $a_4$ , we substitute $n = 4$ into the formula $a_n = 7n + 8$ . $a_4 = 7(4) + 8$ $a_4 = 28 + 8$ $a_4 = 36$
Find fifth term $a_5$ : Find the fifth term of the sequence, $a_5$ . To find $a_5$ , we substitute $n = 5$ into the formula $a_n = 7n + 8$ . $a_5 = 7(5) + 8$ $a_5 = 35 + 8$ $a_5 = 43$

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