Find the 27th term of the arithmetic sequence 15, 17.25, 19.5, 21.75,...

The 27th term is 73.5.

Step-by-step explanation:

We want to find the 27th term of the arithmetic sequence:

15, 17.25, 19.5, 21.75, ...

We can write a direct formula. Recall that the direct formula for an arithmetic sequence is given by:

Where a is the initial term and d is the common difference.

From the sequence, we can see that our initial term a is 15.

To find the common difference, subtract a term and its previous term. Thus, the common difference will be:

Thus, our direct formula is:

To find the 27th term, let n = 27. Substitute and evaluate:

Thus, the 27th term is 73.5.

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step-by-step explanation:

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