Cut the interval
Consider the powers of the number five: 1, 5, 25, 125, 625, ... We form the sequence of their first digits: 1, 5, 2, 1, 6, ...
Prove that any part of this sequence, written in reverse order, will occur in the sequence of the first digits of the powers of the number two (1, 2, 4, 8, 1, 3, 6, 1, ...).
Three functions are written on the board:
Prove that if you erase any of the functions
Is it possible to find natural numbers
A continuous function
1.
2.
3. the graph of the function
Does it follow that the graph of
Peter has 28 classmates. Each 2 out of these 28 have a different number of friends in the class. How many friends does Peter have?
To each pair of numbers
For each pair of real numbers
Note:
Solve problem number 108736 for the inscription
Prove that the equation