Math Problem Statement

Arithmetic Geometric

8, 14, 20, 26, __, __, __

Solution

The sequence in the image provided is:

8,14,20,26,____8, 14, 20, 26, \_\_\_\_

This appears to be an arithmetic sequence, as the difference between consecutive terms is constant. The common difference dd is:

d=148=6d = 14 - 8 = 6

To continue the sequence, you add 6 to each term:

  1. 26+6=3226 + 6 = 32
  2. 32+6=3832 + 6 = 38
  3. 38+6=4438 + 6 = 44

Thus, the next three terms are: 32, 38, 44.

Would you like more details on arithmetic sequences or any other aspect?

Here are some related questions:

  1. What is the formula to find the nn-th term of an arithmetic sequence?
  2. How do you find the sum of the first nn terms of an arithmetic sequence?
  3. How do arithmetic sequences differ from geometric sequences?
  4. Can the difference in an arithmetic sequence be negative? How would that affect the sequence?
  5. How can arithmetic sequences be applied in real-life scenarios?

Tip: The general term of an arithmetic sequence is given by the formula an=a1+(n1)da_n = a_1 + (n-1) \cdot d, where a1a_1 is the first term and dd is the common difference.

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Math Problem Analysis

Mathematical Concepts

Arithmetic Sequence

Formulas

a_n = a_1 + (n-1) * d

Theorems

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Suitable Grade Level

Grades 6-8