- #1
lazyaditya
- 176
- 7
3,8,17,24,49,58,117,?
what is the missing number ? Also give the pattern you followed.
what is the missing number ? Also give the pattern you followed.
HallsofIvy said:There are of course, an infinite number of solutions.
MrAnchovy said:It is implicit in this kind of problem that although there are an infinite number of potential solutions, if the problem is well-formed the unique correct solution can be found by applying Occam's razor.
As you well know HallsofIvy
How did you come by your solution?MrAnchovy said:128.
3 + 5 = 8
8 x 2 + 1 = 17
17 + 7 = 24
24 x 2 + 1 = 49
49 + 9 = 58
58 x 2 + 1 = 117
117 + 11 = 128
jedishrfu said:Using Occam's razor is still an arbitrary choice for any problem with incomplete knowledge.
jedishrfu said:There may yet be an underlying pattern to the one you discovered that even more understandable using one rule instead of two.
jedishrfu said:Also could we drop the sarcasm from your post?
jedishrfu said:Halls is a respected contributor and mentor to this forum and part of his responsibility is to direct students along the path of solution but not actually solve it.
jedishrfu said:How did you come by your solution?
What insight did you have or what method did you follow?
jedishrfu said:Personally, I felt it was complex but it brought to light another way to solve these kinds of problems.
jedishrfu said:As I looked at it I did see the odd numbers 5, 7, and 9 so perhaps that's all that needed to solve it. However, I didn't see the succ = pred*2 + 1 expression though.
Can you tell us how you came to your solution?
It would help the OP understand the methods of solution better. I didn't see the complete solution either so I too would benefit.
3 8 17 24 49 58 117
5 9 7 25 9 59
jbriggs444 said:The same solution had occurred to me, but did not seem sufficiently simple, so I refrained from posting. There are a number of pairs where the first member is n and the second member was 2n+1. The final such pair involves large enough numbers to make the coincidence suspicious.
The pairs occur in a pattern (every odd numbered term is the first member of such a pair).
The first members of those pairs occur in a pattern (simple arithmetic sequence of differences).
A Maths Pattern Problem is a type of problem that involves identifying and analyzing a pattern or sequence of numbers or shapes. It requires logical thinking and the use of mathematical concepts to solve.
Maths Pattern Problems help develop critical thinking skills and enhance a person's ability to recognize patterns and make predictions. They also strengthen mathematical reasoning and problem-solving skills.
First, carefully read and understand the problem. Then, look for any obvious patterns or relationships between the given numbers or shapes. Use your mathematical knowledge and logical reasoning to make predictions and test them until you find the correct solution.
There are several strategies you can use to solve Maths Pattern Problems, such as making a table or chart, drawing diagrams, using algebraic expressions, or working backwards. Choosing the best strategy depends on the problem and your personal preference.
To improve your skills in solving Maths Pattern Problems, practice regularly and challenge yourself with different types of problems. You can also seek help from a teacher or tutor, and use online resources or textbooks to learn new strategies and techniques.