Find the 92nd term of the arithmetic sequence 11, comma, 19, comma, 27, comma, point, point, .11,19,27,...

To find the 92nd term of the arithmetic sequence, we use the formula for the \( n \)th term of an arithmetic sequence:

\[
a_n = a_1 + (n - 1) \cdot d
\]

Given:
- \( a_1 = 11 \) (the first term),
- \( d = 19 - 11 = 8 \) (the common difference),
- \( n = 92 \) (the term number we want to find).

Substituting the values into the formula:

\[
a_{92} = 11 + (92 - 1) \cdot 8
\]

\[
a_{92} = 11 + 91 \cdot 8
\]

\[
a_{92} = 11 + 728
\]

\[
a_{92} = 739
\]

So, the 92nd term of the arithmetic sequence is **739**.

Would you like to explore this further?

Here are 5 related questions:
1. How do you find the sum of the first 92 terms in this sequence?
2. What is the 100th term of this sequence?
3. How does the common difference affect the growth of the sequence?
4. How do you find the first term if the 92nd term and the common difference are known?
5. Can you derive a general formula for the sum of an arithmetic sequence given the first term, common difference, and number of terms?

**Tip:** Always double-check the arithmetic operations, especially when dealing with large term numbers, to ensure accuracy.

Learn how to find the 92nd term of the arithmetic sequence 11, 19, 27 using the formula for the nth term of an arithmetic sequence. Detailed step-by-step solution provided.

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