mathsman
ICU "Chebaklinsky SOSH"
Bolshukovsky district of the Omsk region.
1. Giants have their own names, such as 106A million.
What are the numbers 10 called?24.10.36.10.54.?
2. Continue the rows of numbers:
1,3, 6, 10, 15, 21, ... ;
1, 4, 9, 16, 25, ... ;
1, 5, 12, 22, ... ;
What are the numbers of these series called?
3. What are the numbers 6, 28, 496?
Give examples of the numbers of this group.
4. Pythagoras once said, “My friend is he who is my second self, like the numbers 220 and 284.”
What's so great about these numbers? Give examples of these numbers.
5. The answer to the problem of rabbits, known in the 13th century, can be written as follows: 1, 2, 3, 5.
Continue the series of numbers. What are these numbers called?
6. What are the names of three natural numbers connected by the ratio
x2+z2=2y2
Give me examples.
7.
3805 - 5083, 1589 - 9851, 7976 - 6797, ...
121, 5995, 2002, .
What are the numbers of these sequences called, and how are they related? Give me examples.
8. Which scientist's name has a number6174?
Explain the peculiarity of this number.
9. Sequence of numbers given by formula Fn=22n+1, wheren=0, 1. 2, ... begins as follows: 3, 5, 17.
Write down the next three numbers of this sequence. What are these numbers called?
10. In this triangle, there are units on the top and on the sides. Each number is equal to the sum of the two numbers above it. The triangle can be continued indefinitely. The lines of the triangle are symmetrical with respect to the vertical axis.
Continue to build this arithmetic triangle. Give it a name.
11. In mathematics, there are three natural numbers (x, y, z) that satisfy the ratio x.2y2z2
In honor of which scientist did they get their name? Give me examples.
12. What are the names of pairs of numbers in this series?
(197, 199), (827, 829), (5, 7), ...
Give me examples.