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# Prove that the square of any odd multiple of 3 is the difference of two triangular

**Chapter 2, Problem 4**

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**QUESTION:**

Prove that the square of any odd multiple of 3 is the difference of two triangular numbers;specifically, that9(2n + 1)2= t9n+4 - t3n+l

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**QUESTION:**

Prove that the square of any odd multiple of 3 is the difference of two triangular numbers;specifically, that9(2n + 1)2= t9n+4 - t3n+l

**ANSWER:**

Step 1 of 2

We want to prove that the square of any odd multiple of 3 is the difference of two triangular numbers.