When a natural number is multiplied by two adjacent even numbers, the difference between the two products is 200? Hope to receive a reply immediately!

When a natural number is multiplied by two adjacent even numbers, the difference between the two products is 200? Hope to receive a reply immediately!

fifty
(n+2)n-n(n-2)=200
4n=200
n=50

The product of a certain number multiplied by two adjacent natural numbers is 100 different. What is a certain number

Let X be a certain number and y, y + 1 be two adjacent numbers,
x（y+1）-xy=100
xy+x-xy=100
x=100

The natural numbers 1-300 are divided into three groups a (1, 6, 7, 12, 13, 18...) B (2, 5, 8, 11, 14, 17...) according to the following method
(1) How many numbers are there in groups a, B and C? What is the last number in each group?
C（3,4,9,10,15,16...）

Write ABC in a table
1 6 7 12 13 18… …
2 5 8 11 14 17……
3 4 9 10 15 16……
It is found that the numbers of the three sequences are arranged in a snake shape, with 100 numbers in each group of a, B and C
All numbers divisible by 6 are in the first table, 300 is at the end of the first table, 299 is at the end of the second table, 298 is at the end of the third table