Solution verification: Calculating a value using iterated sum/product notation

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Calculate $$\left(\sum_{k=0}^{5}\left(3k-10\right)\right)\prod_{r=1}^{4}r$$

So what I did first is expand each notation as it is, so

$$\left(\sum_{k=0}^{5}\left(3k-10\right)\right)\prod_{r=1}^{4}r = (-10-7-4-1+2+5) \cdot (1\cdot 2\cdot 3\cdot 4)= -15\cdot 24 = -360$$

Can anyone help me verify this is correct? Thank you.

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Yes, your answer is correct and your steps make sense.

As further evidence, Wolfram Alpha also gets the same answer


Making this a community wiki answer since I don't really have anything else to add beyond a "yes, you're right."