Find the 43rd term of the sequence described below, where n represents the position of a term in the sequence.

Question

an = –37n + 8

Answer 1

To find the 43rd term of the sequence described by the formula \( a_n = -37n + 8 \), we substitute \( n = 43 \) into the formula.

\[ a_{43} = -37(43) + 8 \]

First, we calculate \( -37 \times 43 \):

\[ -37 \times 43 = -1591 \]

Now, we add 8 to this result:

\[ a_{43} = -1591 + 8 \] \[ a_{43} = -1583 \]

Thus, the 43rd term of the sequence is

\[ \boxed{-1583} \]