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Prove that for n in N ,10^n+3. 4^(n+2)+...

Prove that for `n in N ,10^n+3. 4^(n+2)+5` is divisible by `9` .

Text Solution

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Given,`10^n+3.4^(n+2)+5 `
Put n=1
`10+3(64)+5=207 `which is divisible by `3,9,23,207`
We will check for n=2
`100+768+5=873 ` which is divisible by 3 and 9 only.
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Knowledge Check

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