A series T(k,x,n), whose k-th term is given b:
T(k,x,n) = (x^k)* [ n*(n-1)*....(n-k+1)]/ [k*(k-1).....1] and T(0,x,n) = 1
Find the sum S = sum(T(k,x,n)) for k = 0 to inf.
x will greater than -1 and n will be negative.
Hint: Try binomial expansion or something like binomial compression.
Solve

Solution Stats

34 Solutions

22 Solvers

Last Solution submitted on May 30, 2026

Last 200 Solutions

Problem Comments

Solution Comments

Show comments

Problem Recent Solvers22

Chris Cleveland Pauli Huusari Riccardo G. Lorenzo

Suggested Problems

More from this Author5

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!