Sum of series VII
What is the sum of the following sequence:
Σ(km^k)/(k+m)! for k=1...n
for different n and m?
3년 초과 전
문제를 풀었습니다
Sum of series VI
What is the sum of the following sequence:
Σk⋅k! for k=1...n
for different n?
3년 초과 전
문제를 풀었습니다
Sum of series V
What is the sum of the following sequence:
Σk(k+1) for k=1...n
for different n?
3년 초과 전
문제를 풀었습니다
Sum of series IV
What is the sum of the following sequence:
Σ(-1)^(k+1) (2k-1)^2 for k=1...n
for different n?
3년 초과 전
문제를 풀었습니다
Sum of series III
What is the sum of the following sequence:
Σ(2k-1)^3 for k=1...n
for different n?
3년 초과 전
문제를 풀었습니다
Sum of series II
What is the sum of the following sequence:
Σ(2k-1)^2 for k=1...n
for different n?
3년 초과 전
문제를 풀었습니다
Sum of series I
What is the sum of the following sequence:
Σ(2k-1) for k=1...n
for different n?
3년 초과 전
문제를 풀었습니다
Triangle sequence
A sequence of triangles is constructed in the following way:
1) the first triangle is Pythagoras' 3-4-5 triangle
2) the s...
3년 초과 전
문제를 풀었습니다
Find a Pythagorean triple
Given four different positive numbers, a, b, c and d, provided in increasing order: a < b < c < d, find if any three of them com...