question_answer1) If \[n\in N,\] then \[{{11}^{n+2}}+{{12}^{2n+1}}\] is divisible by
question_answer2) If n is a positive integer, then \[{{2.4}^{2n+1}}+{{3}^{3n+1}}\]is divisible by:
question_answer3) When \[{{2}^{301}}\] is divided by 5, the least positive remainder is
question_answer4) For all \[n\in N,\]\[{{41}^{n}}-{{14}^{n}}\] is a multiple of
question_answer5) For all \[n\in N,\] \[{{10}^{n}}+3({{4}^{n+2}})+5\] is divisible by
question_answer6) For every natural number n, \[n({{n}^{2}}-1)\]is divisible by
question_answer7) \[P(n):{{2.7}^{n}}+{{3.5}^{n}}-5,\] \[\forall \,\,n\in N\] is divisible by
question_answer8) If \[n\in N,\]then \[{{7}^{2n}}+{{2}^{3n-3}}{{.3}^{n-1}}\]is always divisible by
question_answer11) For every natural number n, \[{{3}^{2n+2}}-8n-9\] is divisible by
question_answer12) The remainder when \[{{5}^{99}}\] is divided by 13, is
question_answer13) For all positive integral values of n, \[{{3}^{2n}}-2n+1\] is divisible by
question_answer14) For all \[n\in N,\] \[{{3.5}^{2n+1}}+{{2}^{3n+1}}\] is divisible by
question_answer15) The remainder when \[{{5}^{4n}}\] is divided by 13, is
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