Looking on the internet deeply has found these results:

we will participate is the most popular phrase on the web.

we will be participating 1793,000 results on the web	we will participate 12,580,000 results on the web More popular!
Some examples and use cases from the internet:	Some examples and use cases from the internet:
There seems to be a huge expectation that individuals should be participating in society. I will not be participating in this vote. Now that she has gotten a hold of herself, she won't be participating in this musical. The candidate Member States will soon be participating fully in the European structure. Russia will no longer be participating under the current structure. We will not be participating in this vote. I saw the list of players Alonzo, Alan Thicke will be participating. During my incarceration, I will be participating...	It doesn't look like this phrase is very popular! The search could not find any examples on the internet.

we will be participating

1793,000 results on the web

we will participate

12,580,000 results on the web

More popular!

There seems to be a huge expectation that individuals should be participating in society.
I will not be participating in this vote.
Now that she has gotten a hold of herself, she won't be participating in this musical.
The candidate Member States will soon be participating fully in the European structure.
Russia will no longer be participating under the current structure.
We will not be participating in this vote.
I saw the list of players Alonzo, Alan Thicke will be participating.
During my incarceration, I will be participating...

It doesn't look like this phrase is very popular! The search could not find any examples on the internet.