Math Problem Statement
- Find the next three terms of each sequence.
a) 3, 6, 12, 24,
Solution
Let's analyze the sequence: 3, 6, 12, 24.
Each term is being multiplied by 2 to get the next term:
So, continuing this pattern:
Therefore, the next three terms of the sequence are:
Would you like more details or clarification on this?
Here are five related questions to practice:
- What are the next three terms of the sequence: 5, 10, 20, 40?
- What is the general formula for the sequence 3, 6, 12, 24?
- How do you identify a geometric sequence from a given set of terms?
- Can this sequence be represented by a different mathematical operation, such as addition or subtraction?
- How would the sequence change if each term were multiplied by 3 instead of 2?
Tip: When identifying patterns in a sequence, look for consistent operations (like multiplication, division, or addition) between consecutive terms.
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Math Problem Analysis
Mathematical Concepts
Geometric Sequences
Multiplication Patterns
Formulas
Next term = Previous term × 2
Theorems
Geometric Sequence Theorem
Suitable Grade Level
Grades 6-8