Math Problem Statement

Add 12: 10, 22, 34, ___

Solution

The problem is to continue the sequence by adding 12 to each subsequent number. The sequence starts with:
10, 22, 34, ...

  1. Starting from 34, add 12:
    34+12=4634 + 12 = 46

  2. Continuing further:
    46+12=5846 + 12 = 58
    58+12=7058 + 12 = 70

The extended sequence is:
10, 22, 34, 46, 58, 70

Would you like a deeper explanation or have any questions?

Here are 5 related questions to explore:

  1. How can you generalize a formula for the nth term of this sequence?
  2. What kind of sequence is this, and how does it differ from a geometric sequence?
  3. How do you determine the sum of the first n terms of this sequence?
  4. How could this sequence be represented graphically?
  5. Can you identify real-world applications of arithmetic sequences like this?

Tip: In arithmetic sequences, the difference between consecutive terms (called the "common difference") is constant, making them predictable and easy to analyze.

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Math Problem Analysis

Mathematical Concepts

Arithmetic Sequences
Addition

Formulas

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

Theorems

Arithmetic Sequence Theorem

Suitable Grade Level

Grades 4-6