Chapter 4 Methods of Induction and Binomial Theorem Ex 4.4
Chapter 4 Methods of Induction and Binomial Theorem Ex 4.4
Question 1.
State, by writing the first four terms, the expansion of the following, where |x| < 1.
(i) (1 + x)-4
Solution:
(ii) (1 – x)1/3
Solution:
Solution:
(iv) (1 + x)-1/5
Solution:
Solution:
Question 2.
State by writing first four terms, the expansion of the following, where |b| < |a|.
(ii) (a + b)-4
Solution:
(iii) (a + b)1/4
Solution:
(v) (a + b)-1/3
Solution:
Question 3.
Simplify the first three terms in the expansion of the following:
(i) (1 + 2X)-4
Solution:
(ii) (1 + 3x)-1/2
Solution:
(iii) (2 – 3x)1/3
Solution:
(iv) (5 + 4x)-1/2
Solution:
(v) (5 – 3x)-1/3
Solution:
Question 4.
Use the binomial theorem to evaluate the following upto four places of decimals.
(i) √99
Solution:
= 10 [1 – 0.005 – 0.0000125 – ……]
= 10(0.9949875)
= 9.94987 5
= 9.9499
Solution:
Solution:
(iv) (1.02)-5
Solution:
(v) (0.98)-3
Solution:
