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For all n( gt 1) in N, by using mathemat...

For all `n( gt 1) in N`, by using mathematical induction or otherwise `1+(1)/(2)+(1)/(3)+....+(1)/(n)` in its lowest form is

A

Odd integer

B

Even integer

C

`("Odd integer")/("Even integer")`

D

`("Even integer")/("Odd integer")`

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH INSTITUTE-PRINCIPLE OF MATHEMATICAL -Section-B((Objective Type Questions (One option is correct))
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  8. For each n in N, n(n+1) (2n+1) is divisible by

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  9. The statement n! gt 2^(n-1), n in N is true for

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  10. For each n in N, 3.(5^(2n+1))+2^(3n+1) is divisible by

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  11. 3.6+6.9+9.12+....+3n(3n+3)=

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  12. Choose the proposition among the following that is not true for all n ...

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  13. prove that 7 + 77 + 777 +...... + 777.........(n-digits) 7 = 7/81 (10...

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  15. Find the value of 1 xx 1!+2 xx 2!+3 xx 3!+........+n xx n!

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  16. Choose the proposition that is not true for n gt 1 (n in N).

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  17. Which of the following is true for n in N?

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  18. For all n( gt 1) in N, by using mathematical induction or otherwise 1+...

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  19. The sum of the square of three consecutive odd number increased by 1 i...

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