A
B
C
D
Text Solution
Verified by Experts
The correct Answer is:
Topper's Solved these Questions
PRINCIPLE OF MATHEMATICAL INDUCTION
DISHA PUBLICATION|Exercise Exercise-2 Concept Applicator|20 VideosPRINCIPLE OF MATHEMATICAL INDUCTION
DISHA PUBLICATION|Exercise Exercise-2 Concept Applicator|20 VideosMATRICES
DISHA PUBLICATION|Exercise Exercise 2: Concept Applicator|30 VideosPROBABILITY -2
DISHA PUBLICATION|Exercise EXERCISE - 2 : CONCEPT APPLICATOR|30 Videos
Similar Questions
Explore conceptually related problems
DISHA PUBLICATION-PRINCIPLE OF MATHEMATICAL INDUCTION-Exercise-1 Concept Builder
- Let P(n):n^2+n+1 is an even integer. If P(k) is assumed true=>P(k+1) i...
Text Solution
|
- Principle of mathematical induction is used
Text Solution
|
- For each n in N, the correct statement is
Text Solution
|
- If n is a natural number then ((n+1)/2)^n ge n! is true when
Text Solution
|
- For natural number n , 2^n (n-1)!lt n^n , if
Text Solution
|
- If P(n):2nltn!,ninN then P(n) is true for all le . . . . . . . . . .
Text Solution
|
- If 4^n/(n+1) lt ((2n)!)/((n!)^2), then P(n) is true for
Text Solution
|
- For every positive integral value of n, 3 ^(n) gt n^(3) when
Text Solution
|
- If x gt -1 , then the statement (1+x)^n gt 1 +nx is true for
Text Solution
|
- For all positive integral values of n, 3^(2n)-2n+1 is divisible by
Text Solution
|
- For every natural number n, n(n^2-1) is divisible by
Text Solution
|
- Prove the following by the principle of mathematical induction:\ 2....
Text Solution
|
- The remainder when 5^(4n) is divided by 13, is
Text Solution
|
- 10^n+3(4^(n+2))+5 is divisible by (n in N)
Text Solution
|
- If P(n) is the statement n^3+n is divisible 3 is the statement P(3) tr...
Text Solution
|
- For all n in N, 3.5^(2n+1)+ 2^(3n+1) is divisble by-
Text Solution
|
- Prove the following by using the principle of mathematical induction ...
Text Solution
|
- The greatest positive integer , which divides (n+1)(n+2)(n+3)…(n+r) fo...
Text Solution
|
- Prove the following by using the Principle of mathematical induction A...
Text Solution
|
- For every positive integer n, prove that 7^n-3^nis divisible by 4.
Text Solution
|