Math Problem Statement

The start of an arithmetic sequence is shown below. Work out the two missing terms in the sequence: __, 10, __, 28, ...

Solution

The image shows an arithmetic sequence with missing terms, where part of the sequence is:
_,10,_,28,\_, 10, \_, 28, \dots

In an arithmetic sequence, the difference between consecutive terms (called the "common difference," dd) remains constant. To find the two missing terms, we need to calculate this common difference.

Step-by-Step Solution:

  1. Let the missing terms be denoted as x1x_1 and x2x_2.

    So the sequence looks

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Math Problem Analysis

Mathematical Concepts

Arithmetic Sequence
Common Difference

Formulas

nth term of arithmetic sequence: a_n = a_1 + (n - 1) * d

Theorems

Arithmetic sequence formula

Suitable Grade Level

Grades 6-8