JNU SSS 2018 Question 36: Quantitative aptitude and data reasoning

In an economy, the agriculture, industrial and services sectors have initial shares of 50, 20 and 30 percent respectively in the total GDP. They also subsequently grow at the following constant annual rates for the next 60 years : Agriculture-2 percent; Industry-5 percent; and Services-6 percent per annum respectively.

Then the annual growth rate of the economy's aggregate GDP over the sixty years will be