Prove by induction the following statements: i) 1· 1! + 2 · 2! +. +n · n! = (n + 1)! - 1, whenever n is a positive integer. ii) Let P(n) be the statement that, n! < n", where n is an integer greater than 1.

Prove by induction the following statements: i) 1· 1! + 2 · 2! +. +n · n! = (n + 1)! - 1, whenever n is a positive integer. ii) Let P(n) be the statement that, n! < n", where n is an integer greater than 1.

Name: Prove by induction the following statements:i) 1· 1! + 2 · 2! +.. +n
Uploaded: 2024-03-20T06:38:44.000Z
Channel: Bartleby
Description: Prove by induction the following statements:i) 1· 1! + 2 · 2! +.. +n · n! = (n + 1)! - 1, whenever n is a positiveinteger.ii) Let P(n) be the statement that, n! < n", where n is an integer greater than 1.