Go into detail about your current and past roles...
Providing just a list of job titles and employer names will tell me next to nothing about your competence.
There's a lot to be said for brevity, and some people believe that an interview or conversation is the place to tell more of their story, but this idea is frankly ridiculous within the context of LinkedIn.
People want details. They want specifics.
Anyone looking at your profile will want to know three essential things about every element of your experience - past and present.
Even if you work for a well-known company like Google, I want to know what department or area you operate in, who your customers are, and what problems the company solves.
What is your role? What do you actually do at your company, and what might a typical day look like? Your job title may not be enough to let others know what's involved.
Show how your work makes a difference, moves a needle, or benefits your company or customers. Hard numbers help here.
For example: “I helped a customer achieve a 23% rise in their conversion rate after analysing their keywords campaign and creating four new landing pages.”
These three elements will satisfy the curiosity of your profile visitors and assure them about your professional experience.
Making people have to guess what you do, what your employer does, and neglecting to give evidence of your success is not a viable strategy.