Write the sum of 20 terms of the series :
The general term would be
…………(1)
Since,
From equation (1),we get,
Thus the general term would be,
To find (2)
We know by property that:
∑axn + bxn - 1 + cxn - 2…….d0=a∑xn + b∑xn - 1 + c∑xn - 2…….. + d0∑1
Since ,
Thus equation (2) becomes