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

Question

Philoid · Accepted Answer

To Find : numerically greatest term

For (2+3x)⁹,

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

We have relation,

t_r+1 ≥ t_r or

we have a formula,

At x = 3/2

• 90 ≥ 13r

• r ≤ 6.923

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

By using formula,

Conclusion : the 7^th term is numerically greater with value