Which pass for Japan trip

Hi there,
hope you can help me with the question below:

I’ll be travelling to Japan in March & would be glad if you could kindly assist to advise how many days JR Pass is recommended for my itinerary.

Day 1 Tokyo
Day 2 Tokyo
Day 3 Tokyo - Kyoto
Day 4 Kyoto
Day 5 Kyoto - Osaka
Day 6 Osaka
Day 7 Osaka - Nara
Day 8 nara
Day 9 Nara - Tokyo
Day 10 Tokyo - Mumbai

If I activate my JR pass on Day 3 will I be able to use it for Day 9 Nara - Tokyo If I get the 7 days pass