If P(n) : (2n + 7) < (n + 3)^{2} then P(3) is
If P(n) is the statement; 4 + 8 + 12 +……+ 4n = 2n (n + 1) then P(6) will be
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If 4^{2x} = 4^{6} then what is the value of x ?
Assuming the truth of P(k) and proving P(k + 1) to be true, for some integer k is known as the _______ .
Every even power of an odd number greater than 1 when divided by 8 leaves 1 as the remainder.The inductive step for the above statement is
A set S in which x S implies x+1 S is known as a _______ .
If one of the factor of x^{2} + x – 20 is (x + 5). Find the other
If p(n) is the statement : 1^{2} + 3^{2} + 5^{2} + __ __ + (2n  1)^{2} then which one of the following is incorrect?
If a statement is to be proved by mathematical induction, then the different steps necessary to prove it are
In the principle of mathematical induction, which of the following steps is mandatory?
447 docs930 tests

Test: Principle Of Mathematical Induction 2 Test  25 ques 
JEE Advanced (Single Correct Type): Mathematical induction & Binomial Theorem Doc  8 pages 
JEE Advanced (One or More Correct Option): Mathematical induction & Binomial Theorem Doc  3 pages 
JEE Advanced (Subjective Type Questions): Mathematical Induction & Binomial Theorem Doc  23 pages 
JEE Advanced (Fill in the Blanks): Mathematical Induction & Binomial Theorem Doc  2 pages 
447 docs930 tests

Test: Principle Of Mathematical Induction 2 Test  25 ques 
JEE Advanced (Single Correct Type): Mathematical induction & Binomial Theorem Doc  8 pages 
JEE Advanced (One or More Correct Option): Mathematical induction & Binomial Theorem Doc  3 pages 
JEE Advanced (Subjective Type Questions): Mathematical Induction & Binomial Theorem Doc  23 pages 
JEE Advanced (Fill in the Blanks): Mathematical Induction & Binomial Theorem Doc  2 pages 