In netbeans using Java, create a class NestedForPyramid. Write nested for-loops that print the following output:

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
icon
Related questions
Question

In netbeans using Java, create a class NestedForPyramid. Write nested for-loops that print the following output:

This image showcases a triangular array of numbers. The structure is similar to Pascal’s Triangle but features a unique pattern where each row contains powers of 2 symmetrically distributed. Here's a breakdown of the array:

```
            1
          1   2   1
        1   2   4   2   1
      1   2   4   8   4   2   1
    1   2   4   8   16  8   4   2   1
  1   2   4   8   16  32  16  8   4   2   1
1  2   4   8   16  32  64  32  16  8   4   2   1
```

### Explanation of the Triangle:

- Each row starts and ends with the number 1.
- The numbers between the 1s follow a pattern where each is a power of 2.
- The symmetry in the triangle reflects the pattern typically seen in binomial coefficients, but here, the coefficients increase to a peak value — which is a power of 2 — and then symmetrically decrease.

### Educational Context:

This structure provides an interesting combination of mathematical concepts involving powers of 2 and symmetry, often used to explain combinatorial mathematics in a visual context. It can be beneficial in teaching about patterns and number relationships in higher mathematics.
Transcribed Image Text:This image showcases a triangular array of numbers. The structure is similar to Pascal’s Triangle but features a unique pattern where each row contains powers of 2 symmetrically distributed. Here's a breakdown of the array: ``` 1 1 2 1 1 2 4 2 1 1 2 4 8 4 2 1 1 2 4 8 16 8 4 2 1 1 2 4 8 16 32 16 8 4 2 1 1 2 4 8 16 32 64 32 16 8 4 2 1 ``` ### Explanation of the Triangle: - Each row starts and ends with the number 1. - The numbers between the 1s follow a pattern where each is a power of 2. - The symmetry in the triangle reflects the pattern typically seen in binomial coefficients, but here, the coefficients increase to a peak value — which is a power of 2 — and then symmetrically decrease. ### Educational Context: This structure provides an interesting combination of mathematical concepts involving powers of 2 and symmetry, often used to explain combinatorial mathematics in a visual context. It can be beneficial in teaching about patterns and number relationships in higher mathematics.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Math class and its different methods
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Database System Concepts
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education