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Let (1+x+x^2)^9=a0+a1x+a2 x^2+.....+a18...

Let `(1+x+x^2)^9=a_0+a_1x+a_2 x^2+.....+a_18 x^(18)`. Then

A

`a_0 +a_2 + ………….+a_18 =a_1 +a_3 +………..+a_17`

B

`a_0 +a_2+………+a_18 ` is even

C

`a_0 + a_2 + ……….+a_18` is divisible by 9

D

`a_0 +a_2 + …………+a_18` is divisible by 3 but not by 9 .

Text Solution

Verified by Experts

The correct Answer is:
B
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