Identify the next number in the pattern

  • Context: High School 
  • Thread starter Thread starter draotic
  • Start date Start date
Click For Summary
SUMMARY

The next number in the pattern 6, 4, 3, 12/5 is definitively 2. The pattern involves a systematic reduction where each number is diminished by a fraction that increases sequentially: 1/3, 1/4, 1/5, and 1/6. The deduction process shows that starting from 30, each subsequent number is derived by reducing the previous number by the next fraction in the series. This leads to the conclusion that after 12/5, the next logical number is 2.

PREREQUISITES
  • Understanding of fractional reduction
  • Basic knowledge of numerical patterns
  • Ability to identify sequences and series
  • Familiarity with mathematical deduction techniques
NEXT STEPS
  • Study numerical sequences and series in mathematics
  • Learn about fractional arithmetic and its applications
  • Explore advanced pattern recognition techniques
  • Practice solving similar mathematical deduction problems
USEFUL FOR

Mathematicians, educators, students, and anyone interested in numerical patterns and mathematical reasoning.

draotic
Messages
52
Reaction score
0
next number in pattern 6 , 4 , 3 , 12/5 ...
1) 7/3 2) 9/4 3) 13/5 4) 2
please explain your deduction too
thank you
 
Mathematics news on Phys.org
12/2 12/3 12/4 12/5 12/6
 
I got there the hard way through this convoluted path: 30/5, 20/5, 15/5, 12/5, 10/5
30 is diminished by 1/3 to get 20, 20 by 1/4 to get 15, 15 by 1/5 to get 12, and 12 is diminished by 1/6 to get 10.
 

Similar threads

  • · Replies 3 ·
Replies
3
Views
4K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 24 ·
Replies
24
Views
3K
Replies
8
Views
2K
  • · Replies 48 ·
2
Replies
48
Views
5K
  • · Replies 6 ·
Replies
6
Views
1K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 4 ·
Replies
4
Views
2K