To find the 15th term in the sequence $5.5, 10.5, 15.5, \dots$, we first identify that this is an arithmetic sequence.

Step 1: Identify the first term and common difference

• The first term ($a_1$) is $5.5$.
• The common difference ($d$) can be found by subtracting the first term from the second term: $d = 10.5 - 5.5 = 5$

Step 2: Use the formula for the $n$th term of an arithmetic sequence

The formula for the $n$th term of an arithmetic sequence is: $a_n = a_1 + (n - 1) \times d$

Step 3: Plug in the values

For the 15th term ($a_{15}$): $a_{15} = 5.5 + (15 - 1) \times 5$ $a_{15} = 5.5 + 14 \times 5$ $a_{15} = 5.5 + 70 = 75.5$

Final Answer:

The 15th term of the sequence is 75.5.

Would you like any further details on this solution, or do you have any other questions?

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Here are 5 related questions you might find interesting:

1. What is the 20th term of the sequence $5.5, 10.5, 15.5, \dots$?
2. How do you find the sum of the first 15 terms in this sequence?
3. What is the general formula for the $n$th term of any arithmetic sequence?
4. Can you determine the number of terms needed for the sequence to reach 100?
5. How does the concept of arithmetic sequences apply in real-world situations?

Tip: In arithmetic sequences, the difference between any two consecutive terms remains constant, making it easy to predict future terms.