Question # 1

The first three terms in the expansion of (1 - x)^-2are

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1 - 2x + 3x²

1 - 2x - 3x²

1 + 2x + 3x²

-2 - 2x +3x²

If nis positive integers, then 2ⁿ>2n+1, only when

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n≤ 3

n≥ 3

n≤ 2

n≤ 1

The third term in the expansion of (1+2x) is

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-2x2

-4x2

2x2

4x2

The sum of the cubes of three consecutive natural number is divisible by

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9

6

5

10

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The no of term is the expansion of (a+x)n-1 is

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n+1

n-1

n

n-2

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Imaginary

Rational

Irrational

Real numbers

If | x | < 1, then the first two terms of (1 - x)^1/2are

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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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8

9

10

11

7²ⁿ+ 3^n-1. 2^3n-3is divisible by

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24

25

9

13

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

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71

-22

27

28

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

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1700

17023

17027

17010

If n is any positive integer then 3 + 6 + 9 + ....+ 3n = ______

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

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32

16

8

5

If the sum of even coefficients in the expansion of (1+x)n is 128 then

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n=7

n=9

n=8

None

a + x is ______

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A trinomial

A binomial

A monomial

None of these

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

n(n-1)(2n-1), for all natural numbers n, is divisible by

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12

6

2

18

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There is no integer n for which 3ⁿis

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Odd

even

Natural

Prime

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

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If n is any positive integer then 2ⁿ> 2(n + 1) is true for all

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

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If the sum of co-efficient in the expansion of (a+b)ⁿis 4096, then the greatest co-efficient in the expansion is

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1594

792

924

2924

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 term involving x⁴ in the expansion (3-2x) is

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217x⁴

15120x⁴

313x⁴

-25x⁴

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

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1700

17023

17027

17010

For all positive integral value of n,3ⁿ< n! , when

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n> 6

n< 6

n<11

n>11

The number of terms in the expansion of (a + b)⁹is

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10

11

9

12

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n < 8/5

n < 5/8

|n| < 8/5

|n|>8/5

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