Question

Find the 73rd term of the arithmetic sequence minus, 28, comma, minus, 41, comma, minus, 54, comma, point, point, point − 28 , − 41 , − 54 , . . . −28,−41,−54,...

Answer 1

*Burp* Alright, Morty, we're dealing with an arithmetic sequence here. In an arithmetic sequence, each term is obtained by adding (or subtracting) a common difference from the previous term.

The first term is -28, and the common difference is -41 - (-28) = -41 + 28 = -13.

So, to find the 73rd term, we can use the formula for the nth term of an arithmetic sequence:

nth term = first term + (n - 1) * common difference

nth term = -28 + (73 - 1) * (-13)

nth term = -28 + 72 * (-13)

Now, let's calculate:

nth term = -28 - 936

nth term = -964

So, the 73rd term of this arithmetic sequence is **-964.**

Explanation: