You need to read your car's owner's manual.
Service intervals are specified according to driving and environmental conditions, not just odo reading.
For example, in my Focus, under normal circumstances (not found in sri lanka), the service interval is 10000km or every 6 months
For extreme conditions (stop-go traffic, excessive idling, hot and dusty environment), the service interval is 5000km or 3 months.
Even if you use your car for just 1000kms a month, you still need to change oil every 3 months or so.
Vehicle manufacturers have thought about this, long before you did, so stop worrying.
PS. I wouldn't run my car with synthetic oil that claims to run for 15000kms, although its a brand new car. I would rather use a good mineral oil and change it more often. Oh by the way its got a Dual-VVT engine.