Either that - or walk through Paris in three days and add two days with Loire castles:
start (via metro station <Charles>) at the 'Arc de Triomphe', get a view of Montmatre, Tour Eiffel, La Défense from there, walk dowm the 'Avenue de Champs-Elysées (and visit the 'Office du Tourisme, about 150m down on the right).
At the 'rond-point Cahmps-Elysées' tuen left, 'rue Matignon' until 'Rue du Faubourg Saint Honoré' [luxury shops!], go to the right and have a look at 'Palais de l'Elysées'. Then ... ... ...
It's neither my plan nor really my idea, but from an (older) by a certain Guy Laforge (in German).
I've done those walks twice (once alone, then with Mrs Walter): it's really not bad at all.
If you're interested, I can scan the other plans and infos, too.