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Question

Question: Numerically greatest term, in the expansion of (8 – 5x)<sup>18</sup> is (if x = 2/5)...

Numerically greatest term, in the expansion of (8 – 5x)18 is (if x = 2/5)

A

1632.224

B

1632.222

C

1632.223

D

None

Answer

1632.223

Explanation

Solution

r £ (18+1)5(2/5)8+5(2/5)\frac{(18 + 1)5(2/5)}{8 + 5(2/5)}= 3.8

Ž r = 3

Term = T4

T4 = 18C3 83 (5.25)15\left( 5.\frac{2}{5} \right)^{15}

T4 = 1632.223