Math Problem Statement
write the pattern of number sequence using the words: 3,18,108,648,3888,....
Solution
The number sequence provided is: 3, 18, 108, 648, 3888, ...
To describe the pattern using words:
- Start with 3.
- Each subsequent number is obtained by multiplying the previous number by 6.
Here’s the step-by-step explanation:
- The first number is 3.
- Multiply 3 by 6 to get 18.
- Multiply 18 by 6 to get 108.
- Multiply 108 by 6 to get 648.
- Multiply 648 by 6 to get 3888.
This multiplication by 6 continues for each following term.
Would you like more details or clarification on this pattern?
Here are 5 related questions to explore:
- What would the next number in the sequence be after 3888?
- Can you express the nth term of this sequence as a general formula?
- How does the growth of this sequence compare to a geometric progression with a different ratio?
- If the first number were changed to a different starting value, how would the sequence change?
- Can you find a sum of the first five numbers of the sequence?
Tip: In sequences involving constant multiplication, you're often dealing with geometric progressions. The common ratio is key to predicting future terms.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Geometric Sequences
Multiplication
Exponential Growth
Formulas
Geometric sequence formula: a_n = a_1 * r^(n-1)
Theorems
Geometric progression theorem
Suitable Grade Level
Grades 6-8