Find the 99th term of the sequence: -56,-59,-62,-65...

A) -353

B) -350

C) -347

D) -344

B) -350

Step-by-step explanation:

We are given the sequence:

-56, -59, -62, -65...

And we want to determine its 99th term.

First, note that we have an arithmetic sequence. This is because each subsequent term differs from the previous term by a common difference.

In this case, each subsequent term is 3 less than the previous term, so our common difference d is -3.

To find the 99th term, we can write an explicit formula. The explicit formula for an arithmetic sequence is:

Where x_n represents the nth term, a is the initial term, and d is the common difference.

Since the first term is -56, a = -56.

By substitution, we acquire:

The 99th term is when n = 99. Thus:

Evaluate:

Our answer is B.

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step-by-step explanation: