Welcome to Mathematics Dictionary
Figure 145 : Number patterns in grid square
Product no. Program 01 18


Find number at column 2 and row 5


Title .... Number patterns in grid square


Q1. How to use this pattern ?

    * Top row 1 : The numbers are triangular numbers if column number is odd
    * Top row 1 : The number in column x is x*(x+1)/2 if column number is odd

Q2. Find the number at row 4 and column 5
A2. Answer
  • If top row 1 number is x*(x+1)/2
    • Hence number = 1 + 2 + 3 + .... + (r + c - 2) + c
    • Number = 1 + 2 + 3 + .... (4 + 5 - 2) + 5 = 28 + 5 = 33
    • x*(x+1)/2 >= 33
    • x = 6, x*(x+1)/2 = 21
    • x = 7, x*(x+1)/2 = 28
    • x = 8, x*(x+1)/2 = 36
    • Since x = 8 is not x*(x+1)/2 in the pattern
    • Hence This is not the answer
    • Hence the answer is number game 2. The left column 1 is x*(x+1)/2
    • Hence the answer is 1 + 2 + .... + (r + c - 2) + r = 28 + 4 = 32

    Q3.

    A3. Answer

    Q4.


    Q5.


Show Room of MD2002 Contact Dr. Shih Math Examples Room

Copyright © Dr. K. G. Shih. Nova Scotia, Canada.

1