Question

use the formula for the general term (the nth term) of an arithmetic sequence to find the indicated term of the sequence with th
find ( a_{80} ) when ( a_1 = 28 ), ( d = -5 ).
( a_{80} = square )

Explanation:

Step1: Recall the arithmetic sequence formula

The formula for the nth term of an arithmetic sequence is \( a_n = a_1 + (n - 1)d \), where \( a_1 \) is the first term, \( d \) is the common difference, and \( n \) is the term number.

Step2: Identify the given values

We are given \( a_1 = 28 \), \( d = -5 \), and we need to find \( a_{80} \), so \( n = 80 \).

Step3: Substitute the values into the formula

Substitute \( a_1 = 28 \), \( d = -5 \), and \( n = 80 \) into the formula:

$$
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$$

Answer:

\( -367 \)