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OBJECTIVE RD SHARMA-MATHEMATICAL INDUCTION -Exercise
- For all n in N, 4^(n)-3n-1 is divisible by
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- For all n in N, 3^(3n)-26^(n)-1 is divisible by
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- If n in N, then 3^(2n)+7 is divisible by
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- For all n in N, 3n^(5) + 5n^(3) + 7n is divisible by
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- Find the sum of the first n terms of the series : 3 + 7 + 13 +21 + 31...
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- n^(th) term of the series 4+14+30+52+ .......=
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- 3 + 13 + 29 + 51 + 79+… to n terms =
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- Sum of n terms of the following series1^3+3^3+5^3+7^3+
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- If 10^n+3xx4^(n+2)+lambda is divisible by 9 or all n N , then the lea...
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- If x^n-1 is divisible by x-k then the least positive integral value of...
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- If a,b are distinct rational numbers, then for all n in N the number a...
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- If n is an odd positive integer, then a^(n)+b^(n) is divisible by
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- If n is an even positive integer, then a^(n)+b^(n) is divisible by
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- For all n in N, (n^(5))/(5)+(n^(3))/(3)+(7)/(15n) is
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- The sum of n terms of the series 1+(1+a)+(1+a+a^(2))+(1+a+a^(2)+a^(...
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- If 3+5+9+17+33+… to n terms =2^(n+1)+n-2, then nth term of LHS, is
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- 7^(2n)+2^(3n-3)*3^(n-1) is divisible by 25
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- Prove that for n in N ,10^n+3. 4^(n+2)+5 is divisible by 9 .
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- If n in N , x^(2n-1) + y^(2n-1) is divisible by x+y if n is
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- The sum of the cubes of three consecutive natural numbers is divisible...
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