Math Problem Statement
What number comes next in the following sequence? 1 4 9 16 25...
Solution
The given sequence is:
This is a sequence of perfect squares:
Following this pattern, the next number in the sequence is .
So, the next number is 36.
Would you like more details on this sequence, or have any other questions?
Here are 8 related questions to explore:
- What is the general formula for the th term in this sequence?
- How would you find the 10th term in this sequence?
- Can you identify other sequences involving square numbers?
- What is the difference between successive terms in this sequence?
- How can you represent this sequence graphically?
- What are triangular numbers, and how do they relate to square numbers?
- Can square numbers be written as a sum of consecutive odd numbers?
- How does this sequence relate to the Pythagorean theorem?
Tip: Perfect squares often appear in geometry, such as when calculating the area of a square-shaped region.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Sequences
Perfect Squares
Formulas
-
Theorems
-
Suitable Grade Level
Grades 6-8