Use sigma notation to represent the following series for the first 10 terms. 3 + (-6) + 12 + (-24) + ⋯

Step-by-step explanation:

First, as you can see, the sequence is alternating its sign everytime, so you can deduce this term:

The sequence start from 3, and the following terms are the product between 3 and . Take a look:

For n=1

For n=2

And so on...

Let's verify the formula including all terms:

Since the sequence start from 3, we must change the 3 for -3. Because is always negative for the first term:

For n=1

For n=2

For n=3

For n=4

So, one possible sequence is:

And the serie would be given by:

518,400

step-by-step explanation:

the area is multiplying all the given measurements together.

40 * 18 * 30 * 24 = 518,400

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step-by-step explanation: