Math, asked by yashodamatiyali, 2 days ago

When any two consecutive triangle numbers are added a square numbers is always obtained. Find out whether this rule is true or false? why

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Answered by tavleenkaurdelhi

Answer:

the sum of any two consecutive triangular numbers is a perfect square. For example, the following figure shows the the square number S9 can be written as a sum of two triangular numbers t9 and t8. 15,21,28 are three consecutive triangular numbers whose sum is a perfect square

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