Solve Pattern Brain Teaser: 3*1+3*2+3*3+3*4

  • Context: High School 
  • Thread starter Thread starter ArielGenesis
  • Start date Start date
  • Tags Tags
    Brain
Click For Summary

Discussion Overview

The discussion revolves around a pattern brain teaser involving the expression 3*1 + 3*2 + 3*3 + 3*4. Participants explore different ways to express or solve this mathematical expression, considering various patterns and relationships.

Discussion Character

  • Exploratory, Mathematical reasoning, Debate/contested

Main Points Raised

  • One participant presents a series of equations suggesting a pattern in multiplication and addition, leading to the question of what 3*1 + 3*2 + 3*3 + 3*4 equals.
  • Another participant proposes that the answer can be expressed as 2 * (1 + 2 + 3 + 4 + 5), although this is not elaborated upon further.
  • A participant expresses a need to rephrase the question to align with earlier examples of multiplication patterns.
  • Further responses include whited-out answers, indicating potential solutions or expressions, such as 5 * 6.
  • Several participants list incremental sums of the form 3*1, 3*1 + 3*2, and so on, suggesting a method of building towards the final expression.
  • One participant acknowledges the approach of another, indicating a shared understanding or appreciation for the method presented.

Areas of Agreement / Disagreement

There is no clear consensus on the final answer or method of solving the problem, as multiple expressions and approaches are presented without resolution.

Contextual Notes

Participants rely on various interpretations of multiplication and summation patterns, with some expressions remaining whited out, indicating uncertainty or incomplete information.

Who May Find This Useful

Individuals interested in mathematical puzzles, pattern recognition, or those looking to explore different approaches to problem-solving in mathematics may find this discussion engaging.

ArielGenesis
Messages
238
Reaction score
0
if
1*2=2*1
2*3=2*1+2*2
3*4=2*1+2*2+2*3
4*5=2*1+2*2+2*3+2*4

then
3*1+3*2+3*3+3*4=?
 
Mathematics news on Phys.org
Answer is whited out:

2 * (1 + 2 + 3 + 4 + 5)
 
umm. I'm sorry but i guess i suppose to rephrase the question,
?=3*1+3*2+3*3+3*4

in form of
1*2
2*3
and
3*4
 
Answer whited out:

5 * 6
 
?=3*1
?=3*1+3*2
?=3*1+3*2+3*3
?=3*1+3*2+3*3+3*4
?=3*1+3*2+3*3+3*4+3*5
 
ArielGenesis said:
?=3*1
?=3*1+3*2
?=3*1+3*2+3*3
?=3*1+3*2+3*3+3*4
?=3*1+3*2+3*3+3*4+3*5
1*3
3*3
3*6
5*6
5*9
7*9
7*12
9*12etc - Good one
 
at, that's what i am looking for
 
Last edited:

Similar threads

  • · Replies 59 ·
2
Replies
59
Views
232K
  • · Replies 6 ·
Replies
6
Views
2K
Replies
8
Views
3K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 5 ·
Replies
5
Views
929
  • · Replies 16 ·
Replies
16
Views
3K
  • · Replies 3 ·
Replies
3
Views
1K
  • · Replies 48 ·
2
Replies
48
Views
6K
  • · Replies 9 ·
Replies
9
Views
4K
  • · Replies 3 ·
Replies
3
Views
4K