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    I never got taught math induction, but here is the q i got:

    For an equation y=x^n, where n is positive integers:

    • area B is the area under the curve from x = a to b and the x axis; and can be found the with equation \frac {1}{n+1}
    • area A is the area from y=a^n to y=b^n and the y axis; and can be found with the equation \frac {n}{n+1}


    Using mathematical induction, prove that the ratio of area A:area B is always n:1 for all positive integers, as a, b and n vary


    How/What exactly would you do?
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    Surely Area A : Area B = \frac{1}{n+1}:\frac{n}{n+1} = 1:n, so the statement is false?
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    (Original post by James)
    Surely Area A : Area B = \frac{1}{n+1}:\frac{n}{n+1} = 1:n, so the statement is false?

    mixed the A and B up, it is infact A =\frac{n}{n+1} and B \  \frac{1}{n+1}

    therefore, n:1
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    not induction just A:B = n/(n+1):1/(n+1)= n:1
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    Thats what i thought but the question says use induction as a, b, n vary
 
 
 
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