Question
'If P(n) is a statement about natural numbers, mathematical induction may be used to prove P(n) only if P(1) is true.' State true or false.
Answer: Option B
:
B
Was this answer helpful ?
:
B
The principle of mathematical induction can be used to prove true statements P(n) about natural numbers if it is true for a specific natural number, 'm.' In this case, if proved using induction, P(n) will be true for all n≥m. 'm' need not be equal to 1.
Was this answer helpful ?
More Questions on This Topic :
Question 4.
For natural number n, (n!)2 > nn, if
....
Question 8.
For every positive integer n, 2n < n! when
....
Question 9.
For every natural number n
....
Question 10.
For positive integer n, 10n−2 > 81n, if
....
Latest Videos
Latest Test Papers
Submit Solution