Question # 1

The middle term of (x-y)⁸is

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25 x⁴y⁴

70 x⁴y⁴

120 x⁴y⁴

97x⁴y⁴

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

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

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7

6

3

0

The sum of even coefficient in the binomial expansion is

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2ⁿ⁺¹

2ⁿ

2^n-1

2n

If a statement S(n) is true for n = i where i is some natural number and the truth of S(n) for n = k > i implies the truth of S(n) for n = k +1 then S(n) is true for all positive integers

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

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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

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

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6

3

4

8

If (1+x-2x³)⁶= 1+a₁x + a₂x²+ a₃x³+ ..... the the value of a₂+ a₄+ a₆+ .....+a₁₂will be

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32

31

64

1024

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

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(1+x)-3

(1-x)-2

(1-x)-3

(1+x)-2

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

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120

1512

1250

15120

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

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(1 - x)³= ______

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1 + 3x + 3x²+ x³

1 + x + x²+ x³

1 - x + x²- x³

1 - 3x + 3x²- x³

For n€ N,2^n>2 > n is to only when

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n<2

n≤ 4

n≥ 4

7²ⁿ+ 3^n-1. 2^3n-3is divisible by

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24

25

9

13

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

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77b²/a⁵

16b²/243 a⁵

17b⁴/43a⁵

25b³/43a⁵

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

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There is no integer n for which 3n is

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Even

Prime

Odd

Real

In the expansion of (a + x)ⁿthe general term T_{r + 1}is

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

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|x| > 1

|x| < 1

x < 1

x > 1

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n < 8/5

n < 5/8

|n| < 8/5

|n|>8/5

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 fifth term of (a+2x3)17 is

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4013 x3a13

2208a13 x12

223x7a18

38080a13 x12

The general term in the expansion of (a+x)n is

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(r-1)th term

(r+1)th term

rth term

none

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)

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 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

(0.90)^1/2is equal to

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0.99

0.90

0.80

0.88

The positive integer just greater than (1+0.0001)¹⁰⁰⁰⁰is

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4

5

2

3

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

The sum of first n even number is

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n2

n(n+1)

n+1

n+2

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