Problem

24. Name the first five terms of the arithmetic sequence.
\[
a_{1}=-16, d=-6
\]

Answer

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Answer

Final Answer: The first five terms of the arithmetic sequence are \(\boxed{-16, -22, -28, -34, -40}\).

Steps

Step 1 :The first term of the arithmetic sequence is given as -16 and the common difference is -6.

Step 2 :The nth term of an arithmetic sequence can be found using the formula: \(a_{n} = a_{1} + (n-1) * d\) where \(a_{n}\) is the nth term, \(a_{1}\) is the first term, \(d\) is the common difference, and \(n\) is the term number.

Step 3 :We can use this formula to find the first five terms of the sequence.

Step 4 :The first term \(a_{1}\) is -16 and the common difference \(d\) is -6.

Step 5 :The first five terms of the sequence are -16, -22, -28, -34, -40.

Step 6 :Final Answer: The first five terms of the arithmetic sequence are \(\boxed{-16, -22, -28, -34, -40}\).

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