Question # 1

The term involving x⁴in the expansion of (3 - 2x)⁷is

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120

1512

1250

15120

The coefficient of xn in the expansion of (1-x)-1 is

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(-1)n2n

1

(-1)n(n+1)

(n+1)

If n € N , then n(n+3) is always

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Multiple of 3

Multiple of 6

odd

even

If the 4th term in the expansion of (px + x^-1)^mis 2.5 for all x∈ R, then

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The proposition S(n) is true∀n∈N,S(k+1) true when ______is true

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S(1)

Both a & c

S(k)

None

The middle term of [1/x-x]¹⁰is

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-152

-252

371

-421

In the expansion of (a + x)ⁿthe general term T_{r + 1}is

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When we expand (a + 2b)⁵then

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a⁵+ 10a⁴b + 40a³b²+ 80a²b³+ 80ab⁴+ 32b⁵

a⁵+ a⁴b + a³b²+ a²b³+ ab⁴+ b⁵

5a⁵+ 4a⁴b + 3a³b²+ 2a²b³+ 1 ab⁴+ b⁵

None

The positive integer just greater than (1+0.0001)¹⁰⁰⁰⁰is

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4

5

2

3

In the expansion of (a + x)ⁿthe sum of exponents of a and x in each term of the expansion is

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n + 1

n - 1

n

2n

If n is add the expansion (a + x)ⁿhas middle terms

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2

3

4

5

The first three terms in the expansion of (1 + x)^-1are

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1 + x + x²

1 - x - x²

-1 -x + x²

1 - x + x²

The 8th term of (1+2x) ^-1/2is

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-221/16 x⁷

-225/18 x⁷

-407/9 x³

-429/16 x⁷

The sum of the coefficient in the expansion of (a + x)⁵is

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32

16

8

5

7²ⁿ+ 3^n-1. 2^3n-3is divisible by

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24

25

9

13

If a statement S(n) is true for n = 1 and the truth of S(n) for n = k implies the truth of S(n) for = k + 1, then S(n) is true for all

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Real numbers n

Integers n

Positive integers n

None of these

a + x is ______

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A trinomial

A binomial

A monomial

None of these

If the exponent in the binomial expansion is 6, then the middle term is

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2nd

3rd

4th

5th

(x3-1/x)12

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295

495

395

722

The seventh term of (x3+1/x)8is

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71

-22

27

28

If n is any positive integer then 4ⁿ>3ⁿ+ 4 is true for all

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The sum even binomial coefficient of (3+2x)5 is ______term

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16

30

8

32

The proposition S(n) for any n∈ N is only true if k∈ N and

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S(k +1) is true

S(1) is true and S(k+1) is true whenever S (k) is true

S(k+1) is true whenever S (k) is true

S(k) is true

ⁿC₂= exists when n is ______

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(0.90)^1/2is equal to

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0.99

0.90

0.80

0.88

If (1+x)ⁿ=C₀+ C₁x +C₂x²+ ......+C_nx¹then C₀C₂+ C₁C₃+ C₂C₄+ .....+C_n-2C_n=

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The coefficient of x¹⁰in the expansion (x³+3/x²)¹⁰is

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1700

17023

17027

17010

The last term of (1+2x)-2

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(-1)-2 (2x)-2

(-1)-4(-2x)-2

(-1)-3(2x)-3

Does not exist

The number of terms in the expansion of (a + x)¹²is

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13

12

11

10

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ⁿC_r

ⁿ⁺¹C_r+1

ⁿC_r+1

None

For n€ N,2^n>2 > n is to only when

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n<2

n≤ 4

n≥ 4

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