Problem 47078. Sum of infinite series.
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.
Solution Stats
Problem Comments
Solution Comments
Show commentsProblem Recent Solvers16
Suggested Problems
-
Project Euler: Problem 6, Natural numbers, squares and sums.
2107 Solvers
-
699 Solvers
-
Matrix multiplication across rows
315 Solvers
-
61 Solvers
-
9074 Solvers
More from this Author5
Problem Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!