Answer :

To Find : numerically greatest term


For (2+3x)9,


a=2, b=3x and n=9


We have relation,


tr+1 ≥ tr or


we have a formula,














At x = 3/2






• 90 ≥ 13r


• r ≤ 6.923


therefore, r=6 and hence the 7th term is numerically greater.


By using formula,





Conclusion : the 7th term is numerically greater with value


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