`7^(2n)+2^(3n-3)*3^(n-1)` is divisible by 25

Explanation

by appliying the mathematical induction formula,

we have, `(7^2)^n + (2^3)^(n-1) * 3^(n-1)`

`(49)^n + (8)^(n-1).3^(n-1)`

`49^n + 24^(n-1)`

`(50-1)^n + (25-1)^(n-1)`

`.^nC_0*(50)^n - .^nC_1(50)^(n-1) .....................- .^(n-1)C_(n-1)*(-1)^(n-1) `

`25k + (-1)^n + (-1)^(n-1)`

now, if n= odd then n-1 = even
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