Q. 425.0( 2 Votes )

Find numerically the greatest term in the expansion of (2 + 3x)9, where .

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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