Use the explicit formula: an = 4 - 3n, to find the seventh term of the arithmetic sequence.

1 answer

To find the seventh term of the arithmetic sequence given the explicit formula \( a_n = 4 - 3n \), we need to substitute \( n = 7 \) into the formula.

Calculating \( a_7 \):

\[ a_7 = 4 - 3(7) \]

Now, perform the multiplication:

\[ a_7 = 4 - 21 \]

Then, perform the subtraction:

\[ a_7 = -17 \]

Thus, the seventh term of the arithmetic sequence is \( \boxed{-17} \).