Question # 1

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

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

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-221/16 x⁷

-225/18 x⁷

-407/9 x³

-429/16 x⁷

1st four terms of the expansion (1-x)^-2are

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1 + 2x + 3x²+ 4x³

3x²+ 2x + 1

1 + 3x + 4x²+ 5x³

None of these

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 x+y+z+......+2n = 2n+1-1∀n∈W,then cube root of xyz is equal to

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1

4

2

8

For n€ N,2^n>2 > n is to only when

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n<2

n≤ 4

n≥ 4

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

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

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295

495

395

722

The middle term of (x-y)⁸is

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25 x⁴y⁴

70 x⁴y⁴

120 x⁴y⁴

97x⁴y⁴

The sum of first n even number is

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n2

n(n+1)

n+1

n+2

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

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n! > 2ⁿ-1 is true when

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n≤ 3

n≤ 6

n≥ 4

n≤ 6

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28 / 81

28 / 243

81 / 28

243 / 82

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

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12

6

2

18

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

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120

1512

1250

15120

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

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32

16

8

5

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ab=-1

ab = 1

ab = 2

None

The sum of even coefficient in the binomial expansion is

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2ⁿ⁺¹

2ⁿ

2^n-1

2n

If the expansion of (1 + x)²⁰, then co-efficient of rth ad (r + 4)th term are equal, then r is

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7

8

9

10

If n is not natural number, then the expansion (1 + x)ⁿis valid for

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The 7th term of (3⁸ + 6⁴x)^11/4 is

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-19217/3 x⁶

189/2 6⁴x

2227/12 x³

-19712/3 x⁶

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

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2

3

4

5

If n is any positive integer then n²> n + 3 for

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

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n≤ 3

n≥ 3

n≤ 2

n≤ 1

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

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9

6

5

10

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405 / 256

504 / 259

450 / 263

None

The fifteenth term of (3-a)¹⁵ is

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-17a¹²

-945a¹³

-941a¹³

-515a¹²

The middle term of [1/x-x]¹⁰is

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-152

-252

371

-421

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