Progression (Sequence and Series)Hard

Question

The term independent of x in expansion of

¹⁰ is :

Options

A.4

B.120

C.210

D.310

Solution

(x^1/3 - x^-1/2)¹⁰
T_{r + 1} = ¹⁰C_r (x^1/3)^{10 - r} (x^-1/2)^r

20 - 2r = 3r
r = 4
T₅ = T₄₊₁ = ¹⁰C₄

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