Manipal MET2017MathematicsMathematical Induction
If P(n) is a statement such that P(3) is true. Assuming P(k) is true P(k+1) is true for all k 3 , then P(n) is true
Options
- Afor all n
- Bfor n 3
- Cfor n 4
- DNone of these
Correct answer
B. for n 3
Step-by-step solution
Since, P(3) is true. Assume P(k) is true P(k+1) is true means, if P(3) is true P(4) is true P(5) is true and so on. So, statement is true for all n 3 .