Math Problem Statement

Find the common difference of the arithmetic sequence with a1= -5, a4= 10 and a11= 45

Solution

To find the common difference of an arithmetic sequence, we can use the formula for the nnth term of an arithmetic sequence:

an=a1+(n1)da_n = a_1 + (n-1) \cdot d

where:

  • ana_n is the nnth term,
  • a1a_1 is the first term,
  • dd is the common difference, and
  • nn is the term number.

Step 1: Use the given information for the 4th term.

Given:

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Arithmetic Sequences

Formulas

Formula for the nth term of an arithmetic sequence

Theorems

-

Suitable Grade Level

Grades 9-12