Thread: help on proof

if Bk>0, then prove the following:
B1+B2+.....+Bn-B1B2....Bn<=n-1
(sum-product is less than equal to n-1)

When my instructor was talking about Bernoulli's inequalities, he gave us this problem to prove.

Originally Posted by Judi

if Bk>0, then prove the following:
B1+B2+.....+Bn-B1B2....Bn<=n-1
(sum-product is less than equal to n-1)

When my instructor was talking about Bernoulli's inequalities, he gave us this problem to prove.

There seems to be a problem here.
If,
Then,

Only when,

or,