Find the 77th term of the arithmetic sequence 8, comma, 26, comma, 44, comma, point, point, .8,26,44,...

To find the 77th term of an arithmetic sequence, we use the formula for the \( n \)th term of an arithmetic sequence:

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

Where:
- \( a_n \) is the \( n \)th term,
- \( a_1 \) is the first term,
- \( d \) is the common difference,
- \( n \) is the term number.

Given:
- \( a_1 = 8 \) (the first term),
- \( d = 26 - 8 = 18 \) (the common difference),
- \( n = 77 \) (the term number we want to find).

Substituting the values into the formula:

\[
a_{77} = 8 + (77 - 1) \cdot 18
\]

\[
a_{77} = 8 + 76 \cdot 18
\]

\[
a_{77} = 8 + 1368
\]

\[
a_{77} = 1376
\]

So, the 77th term of the arithmetic sequence is **1376**.

Would you like more details on the steps? 

Here are 5 related questions:
1. How do you find the sum of the first 77 terms in this arithmetic sequence?
2. What is the 100th term of this sequence?
3. How do you determine the common difference if only two terms are given?
4. Can an arithmetic sequence have a common difference of 0? What would that look like?
5. How do you find the middle term of an arithmetic sequence with an odd number of terms?

**Tip:** When working with sequences, always verify the common difference or ratio before proceeding with calculations to avoid mistakes.

Learn how to find the 77th term of an arithmetic sequence with detailed steps. This problem covers arithmetic sequences, including the formula for the nth term and calculating terms based on given parameters. Suitable for students in Grades 9-12.

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