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+….+nCn=
a) 2n
b) 2n – 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 4th and the
8th 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 5th,
6th and the 7th 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 9th 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 +*21/2 )4 – ( 3 –*21/2)4
a) 214*21/2
b) 274*21/2
c) 264*21/2
d) None
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QUESTION
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ANSWERS
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1
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D
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2
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C
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3
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C
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4
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A
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5
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C
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6
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A
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7
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B
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8
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D
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9
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B
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10
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C
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