Question

find the 94th term of the arithmetic sequence $-26, -37, -48, ...$

Explanation:

Step1: Identify arithmetic sequence formula

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

Step2: Find \(a_1\) and \(d\)

Here, \(a_1=-26\). To find \(d\), subtract the first term from the second term: \(d=-37-(-26)=-37 + 26=-11\).

Step3: Calculate the 94th term

Substitute \(a_1=-26\), \(n = 94\), and \(d=-11\) into the formula:

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Answer:

\(-1049\)