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Consider the so-called triangular number...

Consider the so-called triangular numbers `T_n` :
The dots here are arranged in such a way that they form a triangle. Here `T_1` = 1, `T_2`= 3,` T_3`= 6, `T_4`= 10, and so on. Can you guess what `T_5` is? What about `T_6`? What about `T_n`?

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PSEB-PROOFS IN MATHEMATICS-EXAMPLE
  1. State whether the following statement is always true, always false or ...

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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 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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  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. 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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