arithmetics sequence the third term is -2/3 and the eighth term is -22/3 what is the common difference and eleventh term? 

To solve this problem, we need to 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.

### Step 1: Set up equations using the information given.

You are given:
- The third term: \(a_3 = -\frac{2}{3}\)
- The eighth term: \(a_8 = -\frac{22}{3

Learn how to find the common difference and the 11th term of an arithmetic sequence. Step-by-step solution using the formula for the nth term. Suitable for Grades 9-12 students.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation