Question
Find the 8th term of the sequence described below, where n represents the position of a term in the sequence.
an = –8n − 5
an = –8n − 5
Answers
GPT-4o mini
To find the 8th term of the sequence given by the formula \( a_n = -8n - 5 \), we substitute \( n = 8 \) into the formula.
\[
a_8 = -8(8) - 5
\]
Calculating it step by step:
1. Multiply \( -8 \) by \( 8 \):
\[
-8 \times 8 = -64
\]
2. Now, substitute this result into the equation:
\[
a_8 = -64 - 5
\]
3. Finally, perform the subtraction:
\[
-64 - 5 = -69
\]
Thus, the 8th term of the sequence is \( \boxed{-69} \).
\[
a_8 = -8(8) - 5
\]
Calculating it step by step:
1. Multiply \( -8 \) by \( 8 \):
\[
-8 \times 8 = -64
\]
2. Now, substitute this result into the equation:
\[
a_8 = -64 - 5
\]
3. Finally, perform the subtraction:
\[
-64 - 5 = -69
\]
Thus, the 8th term of the sequence is \( \boxed{-69} \).