Find the 10th term of the sequence described below, where n represents the position of a term in the sequence.

Question

an = –8n − 3

Answer 1

To find the 10th term of the sequence described by the formula \( a_n = -8n - 3 \), we need to substitute \( n = 10 \) into the formula.

\[ a_{10} = -8(10) - 3 \]

Calculating this step by step:

1. Multiply \( -8 \) by \( 10 \): \[ -8 \times 10 = -80 \]

2. Now, subtract \( 3 \): \[ -80 - 3 = -83 \]

So, the 10th term of the sequence is \( \boxed{-83} \).