mathematical problem

(1) Observe three numbers in the same column of this calendar (for example, 2,9, 16). What is the relationship between their sum and these three numbers? Write the results of observation.

The sum of three numbers in the same column is three times that in the middle. Such as: 2+9+ 16=27, 3x9=27.

(2) If we change three numbers (such as 5 12, 19), have we found any conclusions?

There are also such records. Such as: 5+ 12+ 19 = 36, 12x3 = 36.

(3) If you find that one of the relationships is the same, please explain it with what you have learned.

Let the first number be n, then the number below it is seven days later, then this number is (n+7), the date of the number below (n+7) is n+7 = n+ 14, and the sum of these three numbers is n+n+7+n+ 14 = 3n+24.

Its cubic is 3(n+7)=3n+2 1.

(4) Do you think this conclusion is still valid for calendars in other months? Talk about ideas.

Of course, this is also a fact.

(5) Are there three other numbers in the calendar that are not in the same column? If yes, please write and explain the reasons.

Three numbers on the same diagonal also have this relationship. 1, 9 and 17, 12, 20 and 28 also have this relationship.

Let the first number be n, then the second number is n+8, and the third number must be n+8+8=n+ 16. Their sum is:

n+n+8+n+ 16=3n+24=3(n+8)