Logic and Reasoning
India
Class XI
Inductive Proofs for Inequalities
Interactive practice questions
State all positive integers $n$n for which $2^n>4n$2n>4n is not true. Write all values on the same line separated by a comma.
Easy
< 1min
State all positive integers $n$n for which $2^n>n^2$2n>n2 is not true. Write all values on the same line separated by a comma.
Easy
< 1min
We want to use mathematical induction to prove that the inequality $2^n>2n$2n>2n is true for all integers $n\ge3$n≥3.
Easy
5min
Suppose $S_n$Sn represents the following statement.
$3^n<3n$3n<3n
Hard
1min
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