Question # 1

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 5th term of (3a-2b)^-1is

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77b²/a⁵

16b²/243 a⁵

17b⁴/43a⁵

25b³/43a⁵

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

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ab=-1

ab = 1

ab = 2

None

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Imaginary

Rational

Irrational

Real numbers

The expansion (1 + x)^-3holds when

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|x| > 1

|x| < 1

x < 1

x > 1

The middle term(s) of (a+x)11 is

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6th term

6thor 7th

7th term

6thand7th

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

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2nd

3rd

4th

5th

n! > 2ⁿ-1 is true when

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n≤ 3

n≤ 6

n≥ 4

n≤ 6

(51)⁴is equal to

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7065201

8065201

6765201

6565201

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

(x³-1/2x)⁶is

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15/16 x²

2/13 x²

17/7 x²

16/15 x²

The sum of even coefficient in the binomial expansion is

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2ⁿ⁺¹

2ⁿ

2^n-1

2n

The sum of first n even number is

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n2

n(n+1)

n+1

n+2

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

For n€ N,2^n>2 > n is to only when

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n<2

n≤ 4

n≥ 4

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

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n(2n - 1)

(2n - 1)

n - 1

n

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3/8

7/8

1/8

None

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

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n> 6

n< 6

n<11

n>11

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405 / 256

504 / 259

450 / 263

None

The sum of coefficients in the binomial expansion equals to

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2

2ⁿ⁺¹

2^n-1

2ⁿ

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

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16

30

8

32

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

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9

6

5

10

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

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(1+x)-3

(1-x)-2

(1-x)-3

(1+x)-2

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

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4013 x3a13

2208a13 x12

223x7a18

38080a13 x12

The greatest integer which divides the number 101¹⁰⁰- 1 is

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100

1000

10000

100000

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 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

If n is any positive integer then n! > n²for

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

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2nd term

3rd term

4th term

5th term

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

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