MathDB

3

Part of 1986 Vietnam National Olympiad

Problems(2)

Compute M(n + 2)

Source: Vietnam NMO 1986 Problem 3

2/6/2009
Suppose M(y) M(y) is a polynomial of degree n n such that M(y) \equal{} 2^y for y \equal{} 1, 2, \ldots, n \plus{} 1. Compute M(n \plus{} 2).
algebrapolynomiallogarithmsalgebra unsolved
Find the n-th term of the sequence

Source: Vietnam NMO 1986 Problem 6

2/6/2009
A sequence of positive integers is constructed as follows: the first term is 1 1, the following two terms are 2 2, 4 4, the following three terms are 5 5, 7 7, 9 9, the following four terms are 10 10, 12 12, 14 14, 16 16, etc. Find the n n-th term of the sequence.
combinatorics unsolvedcombinatorics