Explore BrainMass

Explore BrainMass

    Proof of Inequality by Mathematical Induction

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    Prove that (n + 1)!>2^(n+3) for n>=3 Hint: try using mathematical induction

    © BrainMass Inc. brainmass.com February 4, 2021, 6:31 pm ad1c9bdddf
    https://brainmass.com/math/basic-algebra/proof-of-inequality-by-mathematical-induction-11574

    Solution Preview

    NOTE: When n=3, (n+1)!=4!=24<2^(n+3)=2^6=64; when n=4, (n+1)!=5!=120<2^(n+3)=2^7=128; So the statement is not true for n=3 and ...

    Solution Summary

    An inequality is proven by mathemaical induction.

    $2.19

    ADVERTISEMENT