WB JEE 2017 | Mathematical Induction and Binomial Theorem Question 30 | Mathematics

WB JEE 2017

MCQ (Single Correct Answer)

-0.25

Let $${(1 + x + {x^2})^9} = {a_0} + {a_1}x + {a_2}{x^2} + ... + {a_{18}}{x^{18}}$$. Then,

$${a_0} + {a_2} + ... + {a_{18}} = {a_1} + {a_3} + ... + {a_{17}}$$

$${a_0} + {a_2} + ... + {a_{18}}$$ is even

$${a_0} + {a_2} + ... + {a_{18}}$$ is divisible by 9

$${a_0} + {a_2} + ... + {a_{18}}$$ is divisible by 3 but not by 9

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