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:

all the angles opposite to the angle 150 would be 150 and all the angles that are next to 150 are 30 because they equal 180 it you add it up.

step-by-step explanation: