The bids in an online auction are represented by the arithmetic sequence shown below. Wi
an explicit formula to represent the bids as an arithmetic sequence. What is the twelfth bid?

(Type an expression using for the variable.)
(Simplify your answer.)

To find an explicit formula for the bids in the arithmetic sequence given, we start with the first term and the common difference . Therefore, we can express the -th bid as:

.

Now, to find the twelfth bid, we substitute into the formula:

.

So, the twelfth bid is . The bids not only reflect vibrant competition but also hold a unique rhythm as they add value over time! Such sequences can be seen in various real-life situations, including pricing strategies, staircase designs, or even the heartbeats of different animals as they establish a patterned nature in the animal kingdom.