Inductive Proof that k + 1 − k ≤ 1 k + 1 Help me...

Lillianna Andersen

Lillianna Andersen

Answered

2022-07-08

Inductive Proof that k + 1 k 1 k + 1
Help me understand this:
k + 1 k 1 k + 1

Answer & Explanation

Dalton Lester

Dalton Lester

Expert

2022-07-09Added 12 answers

Step 1
For K 0 we have K 2 K 2 + K = K ( K + 1 ) and so K K ( K + 1 ) which further implies K + 1 K ( K + 1 ) + 1 ,.
Step 2
Thus we have K + 1 K ( K + 1 ) 1 ,, or K + 1 ( K + 1 K ) 1 ,, which is the required inequality.

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