HELP! Please answer fast How many terms are in the geometric series 0.4 + 1.2 + 3.6 + ... + 7,873.2?

10 terms. I think you should check the explanation :)

Step-by-step explanation:

0.4 + 1.2 + 3.6 + ... + 7,873.2?

So I figured that you have to multiply the terms by three to get the next term.

0.4 * 3 = 1.2

1.2 * 3 = 3.6

But, I know it will takes us a really long time to get to 7,873.2, so what I will do is jump 3 sequences.

So if I multiply by 3 to get the next term, I'll multiply by 9 to get the next two terms because 3 * 3 is 9.

So to jump three times, I will multiply by 27 to get the next three terms because 3 * 3 * 3 is 27.

0.4 + 1.2 + 3.6 + ...

3.6 * 27 = 97.2

0.4 + 1.2 + 3.6 + ..., ..., 97.2, ...

97.2 * 27 = 2624.4

0.4 + 1.2 + 3.6 + ..., ..., 97.2, ..., ..., 2624.4, ...

Since we are getting close, I'm going to go back to multiply by 3.

2624.3 * 3 = 7873.2

0.4 + 1.2 + 3.6 + ..., ..., 97.2, ..., ..., 2624.4, 7873.2

Now that we have reached 7873.2, we will now count the terms (count the sets of three dots as terms too).

There are 10 terms in the geometric sequence.

stops on an even number.

idk

step-by-step explanation: