# Answer the following: State, first four terms in the expansion of (1-x)-14 - Mathematics and Statistics

Sum

State, first four terms in the expansion of (1 - x)^(-1/4)

#### Solution

(1 - x)^(-1/4) = 1- (-1/4)x + ((-1/4)(-1/4 - 1))/(2!) x^2  - ((-1/4)(-1/4 - 1)(-1/4 - 2))/(3!) x^3 + ...

= 1 + x/4 + (-1/4)(-5/4)(1/2)x^2 - (-1/4)(-5/4)(-9/4)(1/6)x^3 + ...

= 1 + x/4 + (5x^2)/32 + (15x^3)/128 + ...

Concept: General Term in Expansion of (a + b)n
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#### APPEARS IN

Balbharati Mathematics and Statistics 2 (Arts and Science) 11th Standard Maharashtra State Board
Chapter 4 Methods of Induction and Binomial Theorem
Miscellaneous Exercise 4 | Q II. (19) | Page 86
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