Consider the expansion .

MATHEMATICS · Multi-part · A Level · Mathematics · Sequences and series · Sequences and series

Problem

Consider the expansion

(\sqrt{2}\,x+\dfrac{1}{\sqrt{3}x})^{18}

. (i) Find the value of

r

that yields the term independent of

x

. (ii) Calculate the exact value of the independent term. (iii) Using your result, evaluate the numerical value of the independent term correct to two decimal places.

Related theory

Binomial Theorem
The Binomial Theorem
Algebra
General term and binomial coefficients
Sequences and series

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