Question # 1

The middle term of the expansion (1 + 2x)⁶is ______

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1st term

4th term

2nd term

5th term

The proposition S(k+1) is true when ______ is true∀K∈N

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S(n)

S(k)

S(1)

S(k-1)

If n is any positive integer then n! > n²for

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

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217x⁴

15120x⁴

313x⁴

-25x⁴

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

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6

3

4

8

The coefficient of the second term of (a+b)⁴ is

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1

9

3

5

The term involving x4 the expansion (3-2x)7 is

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217 x4

15120x4

313x4

-25x4

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

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The fifteenth term of (3-a)¹⁵ is

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-17a¹²

-945a¹³

-941a¹³

-515a¹²

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n < 8/5

n < 5/8

|n| < 8/5

|n|>8/5

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

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n(2n - 1)

(2n - 1)

n - 1

n

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

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

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32

16

8

5

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

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2nd

3rd

4th

5th

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

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10

11

9

12

If n € N , then n(n+3) is always

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Multiple of 3

Multiple of 6

odd

even

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

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-221/16 x⁷

-225/18 x⁷

-407/9 x³

-429/16 x⁷

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

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 sum of coefficients in the binomial expansion equals to

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2

2ⁿ⁺¹

2^n-1

2ⁿ

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

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6th term

6thor 7th

7th term

6thand7th

The sum of even coefficient in the binomial expansion is

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2ⁿ⁺¹

2ⁿ

2^n-1

2n

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

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1700

17023

17027

17010

7²ⁿ+ 3^n-1. 2^3n-3is divisible by

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24

25

9

13

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

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

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77b²/a⁵

16b²/243 a⁵

17b⁴/43a⁵

25b³/43a⁵

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