Question # 1

There are two middle terms in the expansion of (a+x)n if n is

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Even +ve integer

+ve integer

Odd +ve integer

All

The sum of the odd coefficients in the expansion of (a + x)⁴is

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14

12

8

4

If n € N , then n(n+3) is always

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Multiple of 3

Multiple of 6

odd

even

The coefficient of the third term of (8a-b)^1/3, after simplification is

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-228

1/288

1/220

-1/177

The coefficient of x¹⁸ in (ax⁴-bx)⁹ after expansion is

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84a³ b⁶

22a³b⁶

27a⁴b⁵

28a³b⁶

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

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217x⁴

15120x⁴

313x⁴

-25x⁴

Digit in the unit place of the number 183! + 3¹⁸³

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7

6

3

0

For each natural number n, n (n+1) is

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an even

an odd

multiple of 3

Irrational

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)

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

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1700

17023

17027

17010

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ab=-1

ab = 1

ab = 2

None

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

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71

-22

27

28

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

The sum of the even coefficients in the expansion (1 + x)ⁿis

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n²

2^n-2

2^n-1

2ⁿ

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

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-2x2

-4x2

2x2

4x2

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

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2nd

3rd

4th

5th

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

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n> 6

n< 6

n<11

n>11

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

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2

3

4

5

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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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

If n∈Z+ then(a+x)n is a/an

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Finite series

Convergent series

Infinite series

Divergent series

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3/8

7/8

1/8

None

The sum of coefficients in the binomial expansion equals to

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2

2ⁿ⁺¹

2^n-1

2ⁿ

(0.90)^1/2is equal to

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0.99

0.90

0.80

0.88

For every positive integers n 1+5+9+....+ (4n - 3) is

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n(2n - 1)

(2n - 1)

n - 1

n

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

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n≤ 3

n≥ 3

n≤ 2

n≤ 1

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

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ⁿC₂= exists when n is ______

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

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Even

Odd

Prime

None of these

The term independent of x is the expansion (x³+1/x)¹²

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295

495

395

722

The expansion of (1 + 2x)^-2is valed if

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| x | < 1/2

| x | < 1

| x | < 2

| x | < 3

If n is any positive integer ,t hen 2+4+6+......+2 n=

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2ⁿ-1

2ⁿ+1

n²+1

n(n+1)

The fifteenth term of (3-a)¹⁵ is

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-17a¹²

-945a¹³

-941a¹³

-515a¹²

1+3x+6x2 +10x3 +....=

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(1+x)-3

(1-x)-2

(1-x)-3

(1+x)-2

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