Math Problem Statement

Fill in the gaps in the sequence below, starting at 3 and adding 6 each time.

Solution

Let’s solve this sequence step-by-step. The rule says:

Start at 3 and add 6 each time.

Given Sequence:

  • The first number is 3.
  • Adding 6: 3+6=93 + 6 = 9 (already provided).
  • Adding 6 again: 9+6=159 + 6 = 15.
  • Adding 6 to 15: 15+6=2115 + 6 = 21 (already provided).
  • Adding 6 to 21: 21+6=2721 + 6 = 27.
  • Adding 6 to 27: 27+6=3327 + 6 = 33.

Completed Sequence:

3, 9, 15, 21, 27, 33

Let me know if you'd like a breakdown of arithmetic sequences or any additional details!


Related Questions:

  1. How do you find the nth term in a sequence with a fixed increment?
  2. What is the formula for an arithmetic sequence?
  3. Can you explain how to graph an arithmetic sequence?
  4. How do you determine if a sequence is arithmetic?
  5. What are the applications of arithmetic sequences in real life?

Tip:

For any arithmetic sequence, you can use the formula an=a1+(n1)da_n = a_1 + (n-1)d, where a1a_1 is the first term and dd is the common difference!

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Math Problem Analysis

Mathematical Concepts

Arithmetic Sequences
Addition

Formulas

Arithmetic sequence formula: a_n = a_1 + (n-1)d

Theorems

Properties of Arithmetic Sequences

Suitable Grade Level

Grades 4-6