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The sum of the first n odd natural numbe...

The sum of the first n odd natural number is

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Statement 1 The difference between the sum of the first 100 even natural numbers and the sum of the first 100 odd natural numbers is 100. Statement 2 The difference between the sum opf the first n even natural numbers and sum of the first n odd natural numbers is n.

Property 6 The sum of first n odd natural numbers is n^(2)

The sum of first n odd natural numbers is 2n-1 (b) 2n+1 (c) n^2 (d) n^2-1

Find the sum of the first 25 odd natural numbers.

The sum of the first (n+1) natural number is _____.

Assertion : The sum of the first 100 positive integers is 5550. Reason: The sum of the first n natural numbers is (n(n+1))/2 .

The sum of first n odd natural numbers is

If the sum of first n odd natural numbers is 169, then the sum of all natural numbers less than or equal to n is.

Prove the following by the principle of mathematical induction: 1+3+5++(2n-1)=n^(2)idot e, the sum of first n odd natural numbers is n^(2)

The sum of first 20 odd natural numbers is equal to :

NCERT EXEMPLAR-SQUARE - SQUARE ROOT AND CUBE-CUBE ROOT-Exercise (state whether the statements are true (T) or false (F))
  1. State True or False : There are five perfect cubes between 1 and 100.

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  2. State True or False : There are 200 natural numbers between 100^2 and...

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  3. The sum of the first n odd natural number is

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  4. 1000 is a perfect square.

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  5. A perfect square can have 8 as its units digit.

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  6. For every natural number m, (2m -1, 2m^2-2m, 2m^2–2m + 1) is a pythago...

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  7. All numbers of a pythagorean triplet are odd. True or false.

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  8. For an integer a, a^3 is always greater than a^2. True or false.

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  9. State True or False: If x and y are integers such that x^2 gt y^2, ...

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  10. Let x and y be natural numbers. If x divides y, then x^3 divides y^3. ...

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  11. State True or False: If a^2 =5, then a^3= 25.

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  12. Write true (T) or false (F) for the following statements: 392 is a ...

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  13. The square root of a perfect square containing n digits has .............

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  14. Square root of a number x is denoted by sqrtx .

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  15. A number having 7 at its ones place will have 3 at the units place of ...

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  16. A number having 7 at its ones place will have 3 at the ones place of i...

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  17. The cube of a one digit number cannot be a two digit number.

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  18. Cube of an even number is odd. True or false.

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  19. Cube of an odd number is even.

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  20. Cube of an even number is even.

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