![\huge{ \sf{ \red{ \underline{ \overline{Qᴜᴇsᴛɪᴏɴ : - }}}}} \huge{ \sf{ \red{ \underline{ \overline{Qᴜᴇsᴛɪᴏɴ : - }}}}}](https://tex.z-dn.net/?f=+%5Chuge%7B+%5Csf%7B+%5Cred%7B+%5Cunderline%7B+%5Coverline%7BQ%E1%B4%9C%E1%B4%87s%E1%B4%9B%C9%AA%E1%B4%8F%C9%B4+++%3A++-+%7D%7D%7D%7D%7D)
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By using direct proof method, we can prove that 4
![\sf{41}^{n} - \sf {14}^{n} \: \: \sf(n∈N) \sf{41}^{n} - \sf {14}^{n} \: \: \sf(n∈N)](https://tex.z-dn.net/?f=+%5Csf%7B41%7D%5E%7Bn%7D++-++%5Csf+%7B14%7D%5E%7Bn%7D+++%5C%3A++%5C%3A++%5Csf%28n%E2%88%88N%29)
is a multiple of
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41n-14n is a multiple of 27 prove the following by using the principle of mathematical induction. 2.
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