Chapter 8 .Induction And Binomial Induction mcqs with solution
Chapter 8 .Induction And Binomial Induction
1)
1 + 2 + 3 …….+ n =
A) 
B)
C) 
D) 
2)
The number of terms in the
expansion of (2x + y)6 are
A) 6
B) 7
C) 8
D) 14
3)
12 + 22 + 32
+ ….. n2 =
A)
B)
C)
D)
4)
13 + 23 + 33
+ ….. n3 =
A)
B)
C)
D)
5) If x is so small that its square and
higher powers be neglected then (1 + 3x)-2 =
A) 1 +
9x
B) 1 –
9x
C) 1 +
6x
D) 1 –
6x
6 For every positive integers n 1 + 5
+ 9 + …….. + (4n – 3) is
A) n(2n – 1)
B) (2n – 1)
D) n – 1
D) n
7 When we expand (a + 2b)2
then
A)
a5 + 10a4b + 40a3b2 + 80a2b3
+ 80ab4 + 32b5
B)
a5 + a4b + a3b2 + a2b3
+ ab4 + b5
C)
5a5 + 4a4b + 3a3b2 + 2a2b3
+ 1ab4 + b5
D)
None of above
8 The term involving x4 in the
expansion of (3 – 2x)7 is
A) 120
B) 1512
C) 1250
D) 15120
9 if 1 + 
……… +R is
A) 
B) 
C) 
D) 
10 For each natural number n. 1 + 3 + 5 +
……… (2n – 1) =
A) n2
B) n
C) n3
D) n4
11 (a + x)n = 
an – r where a and x are:
A) imaginary
B) Rational
C) Irrational
D) Real
numbers
12 Number of terms in the expansion of (a +
x)n is
A) n
– 1
B) n
+ 1
C) n
+ 2
D) n
+ 3
13 The expansion of (1 - 
) is valid when :
A) x
< 
B) x
< 
C) |x|
<
D) |x|
>
14 nC2 =
exists when n is
A) n
> 2
B) n
2
C) n
< 2
D) n
2
15 1st four terms of the
expansion ( 1 – X)-2 are
A) 1
+ 2x + 3x2 + 4x3
B) 3x2
+ 2x + 1
C) 1
+ 3x + 4x2 + 5x3
D) None
of these
16 The expansion (1 + X) -3
holds when
A) |x|
> 1
B) |x|
< 1
C) |x|
> 1
D) x
< 1
17 The middle term of the expansion (1 + 2x)6
is
A) 1st term
B) 4th term
C) 2nd term
D) 3rd term
18 If n is add the expansion (a +x)n
has middle terms.
A) 2
B) 3
C) 4
D) 5
19 The general term of expansion (a + x)n
is:
A) an
– r
B)
C) an-r xr
D) None
of above
Chapter
8 M.Induction And Binomial Induction
1)
Answer : B
2)
B
3)
B
4)
D
5) D
6) A
7) A
8)
D
9) A
10) A
11) D
12) B
13) B
14) D
15) D
16) A
17
) B
18) A
19) C
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