Discover the Next Number in a Series: Infinite Contiguous Pairs Revealed!

  • Thread starter Loren Booda
  • Start date
In summary, the conversation discussed a series of numbers and attempted to find a pattern in the series. The initial attempts were made using ramp signals, but no definitive pattern was found. The conversation also mentioned a website that can be used to look up known series.
  • #1
Loren Booda
3,125
4
What is the next number in the following series?

2, 3, 4, 9, 6, 12, 8, 15, 16, 18, 12, 28, 14, 24, 24, 25...

(and can you prove that there would be an infinite number of contiguous pairs thereabouts?:eek:)
 
Physics news on Phys.org
  • #2
I'm an undergrad in EE, so I'm not much on number theory. School is starting back up so I thought I'd take a try to get my brain back in the swing of things. I thought of it as a bunch of ramp signals... I know I'm not right, but is this even in the right direction?

I got 4 signals

[;y_1(n) = 2 + n;]
[;y_2(n) = \frac{9}{2} + \frac{3*n}{2};]
[;y_3(n) = -16+4*n;]
[;y_4(n) = 10+n;]

I don't like the last one. The first three seem to have some sort of pattern. But you can get an expression for the signal by simply doing

[;y(n) = y_1(n)+y_1(n-1)+y_1(n-2)+y_2(n-3)+y_1(n-4)+y_2(n-5);], etc

No answer though.

See attachment for MATLAB stuffs
 

Attachments

  • Untitled.jpg
    Untitled.jpg
    51.6 KB · Views: 386
Last edited:
  • #3
UR -- thank you for your hard work, but I included only two simple functions toward each number of this series. I think you would do better by mentally seeking a pattern.

Thanks for an introduction to ramp signals -- are these all linear?

(Apparently there is a website where you can look up most known series.)

Exceed in school!
 
Last edited:

FAQ: Discover the Next Number in a Series: Infinite Contiguous Pairs Revealed!

What is the purpose of the "Discover the Next Number in a Series" activity?

The purpose of this activity is to practice and improve your pattern recognition skills. By identifying the next number in a series, you are strengthening your ability to recognize and predict patterns in data.

How do I approach solving the "Infinite Contiguous Pairs Revealed!" series?

The key to solving this series is to carefully observe the given numbers and look for any patterns or relationships between them. Start by identifying the difference or ratio between each pair of numbers, and then see if that relationship holds true for the next pair of numbers. You can also try looking at the numbers as a whole and see if there are any repeating patterns or sequences.

Are there any tips or tricks for solving these types of series?

One helpful tip is to start by looking at the first and last numbers in the series. These can often give clues as to the pattern or rule being used. You can also try writing out the series and looking at it visually to see if you can spot any patterns or symmetries. Additionally, don't be afraid to try different strategies and approaches until you find one that works for you.

Is there a specific formula or method for finding the next number in a series?

There is no one specific formula or method for solving series problems. It often requires a combination of observation, pattern recognition, and logical reasoning. Some series may have a simple mathematical formula that can be applied, while others may require a more creative approach. The key is to keep practicing and trying different techniques.

How can solving series problems be useful in real life?

Pattern recognition and logical reasoning skills are important in many fields, including science, mathematics, and technology. By practicing these skills through solving series problems, you are strengthening your ability to analyze data and make predictions. This can be useful in a variety of real-life scenarios, such as predicting trends and making forecasts based on data.

Similar threads

Replies
1
Views
1K
Replies
4
Views
2K
Replies
7
Views
2K
Replies
4
Views
2K
Replies
24
Views
2K
Replies
8
Views
2K
Back
Top