Question # 1

for n€ N, 3^{2n + 7 is divisible by}

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7

8

9

10

If n is any positive integer then n! > n²for

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

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| x | < 1/2

| x | < 1

| x | < 2

| x | < 3

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

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n(2n - 1)

(2n - 1)

n - 1

n

(2.02)4 s equal to

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16

16.6496

17

18

For each even natural number n (n²-1) is divisible by

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6

3

4

8

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

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1700

17023

17027

17010

The exponent of x in 10th term in the expansion of (a+x)n

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10

12

11

9

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

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Number of terms in the expansion of (a+x)ⁿis

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n - 1

n + 1

n + 2

n + 3

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

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14

12

8

4

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

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71

-22

27

28

The fifth term of (a+2x3)17 is

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4013 x3a13

2208a13 x12

223x7a18

38080a13 x12

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

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13

12

11

10

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

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n < 8/5

n < 5/8

|n| < 8/5

|n|>8/5

The first three terms in the expansion of (1 - x)^-3are

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1 + 3x + 6x²

1 - 3x + 6x²

-3 - 3x - 6x²

1 - 3x - 6x²

The fifteenth term of (3-a)¹⁵ is

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-17a¹²

-945a¹³

-941a¹³

-515a¹²

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28 / 81

28 / 243

81 / 28

243 / 82

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

The middle term in the expansion of (a +x)¹²is

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7th

8th

9th

6th

(x3-1/x)12

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295

495

395

722

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

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84a³ b⁶

22a³b⁶

27a⁴b⁵

28a³b⁶

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)

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

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(51)⁴is equal to

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7065201

8065201

6765201

6565201

The coefficient of xn in the expansion of (1-2x)-1 is

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(-1)n2n

2n

(-1)(n+1)xr

(n+1)2n

The sum of coefficients in the binomial expansion equals to

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2

2ⁿ⁺¹

2^n-1

2ⁿ

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

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(0.90)^1/2is equal to

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0.99

0.90

0.80

0.88

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8

9

10

11

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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

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