Sharing your mathematics in MathYouLike

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12/05/2018 at 13:03

We have :

\(55^{n+1}-55^n=55^n\cdot\left(55-1\right)=55^n\cdot54\)

Because \(55^n\cdot54⋮54\)

So \(55^{n+1}-55^n⋮54\)

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11/05/2018 at 12:43

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11/05/2018 at 06:47

Show that : A is a square number \(\forall n\in N\) , know :

\(A=1^3+2^3+...+n^3\)

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10/05/2018 at 13:45

Cause Granny has 10 grandchildren and all of them have a different ages so

I call the ages of ten children are \(x_1,x_2,....,x_{10}\)

Cause Alice is the eldest

We have \(x_1+x_2+....+x_{10}=180\)

=> \(10x_{10}\ge180\)

<=> \(x_{10}\ge18\)

So , at least , the age of alice is 10

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