The Binomial theorem

The Binomial theorem

MATH 

TEST# 1

Q# 1.What is the middle term of the expansion ( a – b )⁸

a) 56a³b⁵                     

b) 56 a⁵b³                      

c) 28a³b⁵               

d) – 56a³b⁵

Q# 2 The sum of the Even binomial coefficients of  ( 1 + x)⁷ is

a) 256                          

b) 128    ³                      

c) 64                     

d) None

Q# 3 what is the term independent of x in the expansion ( x – 1/x)¹²

a) 792                          

b) 495                            

c) – 792               

d) – 456.

Q# 4 The expansion ( a + b )ⁿ has two middle terms if n is

a) Odd                          

b) Even                         

c) Prime              

d) Integer.

Q# 5 ⁿC₁+ⁿC₂+ⁿC₃+….+ⁿC_n=

a)  2ⁿ                           

b) 2^{n – 1}                           

c) 2ⁿ – 1               

d)None

Q# 6 The coefficient of x ^{– 2} in the expansion ( x – b²/x²)¹⁰ is

a) 210b⁸                     

b) 210b³                      

c) 28a³b⁵               

d) – 56a³b⁵

Q# 7 The binomial coefficient of the 4^th and the 8^th terms of ( x + a/x²)ⁿ are same then

   n = ?

a) 11                           

b)10                             

c) 12                     

d) 16

Q# 8 For what value of n the coefficients of the 5^th, 6^th and the 7^th terms of the expansion

( 1 + x)ⁿ will be in arithmetic progression?

a) 8                              

b)9                                

c) 12                     

d) 7.

Q# 9 What is the 9^th term of ( x +a/x² )⁹

a) 9 a⁸/x¹⁶                        

b) 9 a⁸/x¹⁵         

c) 9 a⁹/x¹⁷

d) – 9 a⁹/x¹⁵

Q# 10 Evaluate ( 3 +*2^1/2  )⁴ – ( 3 –*2^1/2)⁴   

a) 214*2^1/2                     

b) 274*2^1/2                          

c) 264*2^1/2           

d) None

QUESTION	ANSWERS
1	D
2	C
3	C
4	A
5	C
6	A
7	B
8	D
9	B
10	C