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Prove that the sum of three consecutive ...

Prove that the sum of three consecutive even numbers is divisible by 6.

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Property:Product of r consecutive number is divisible by r!

Statement-1: The smallest positive integer n such that n! can be expressed as a product of n-3 consecutive integers, is 6. Statement-2: Product of three consecutive integers is divisible by 6.

PSEB-PROOFS IN MATHEMATICS-EXAMPLE
  1. Prove that the sum of three consecutive even numbers is divisible by 6...

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  2. State whether the following statement is always true, always false or ...

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  3. State whether the following statement is always true, always false or ...

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  4. State whether the following statement is always true, always false or ...

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  5. State whether the following statement is always true, always false or ...

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  6. State whether the following statement is always true, always false or ...

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  7. State whether the following statement is always true, always false or ...

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  8. State whether the following statement is true or false: The sum of the...

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  9. State whether the following statement is true or false: Every odd numb...

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  10. State whether the following statement is true or false: For any real ...

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  11. State whether the following statement is true or false: For every real...

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  12. State whether the following statement is true or false: For every real...

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  13. State whether the following statement is true or false:If a quadrilate...

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  14. Restate the following statement with appropriate conditions, so that t...

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  15. Restate the following statement with appropriate conditions, so that t...

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  16. Restate the following statement with appropriate conditions, so that t...

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  17. Restate the following statement with appropriate conditions, so that t...

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  18. Restate the following statement with appropriate conditions, so that t...

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  19. Take any three consecutive even numbers and add them, say, 2 + 4 + 6 =...

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  20. Observe the following pattern of numbers which is also called Pascaltr...

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  21. Consider the so-called triangular numbers Tn : The dots here are arr...

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