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Take any three consecutive even numbers ...

Take any three consecutive even numbers and add them, say, 2 + 4 + 6 = 12, 4 + 6 + 8 = 18, 6 + 8 + 10 = 24, 8 +10 + 12 = 30, 20 + 22 + 24 = 66. Is there any pattern you can guess in these sums? What can you conjecture about them?

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PSEB-PROOFS IN MATHEMATICS-EXAMPLE
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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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  7. State whether the following statement is true or false: The sum of the...

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

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

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  10. State whether the following statement is true or false: For every 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:If a quadrilate...

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

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

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

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

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

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