Question # 1

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

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For n€ N,2^n>2 > n is to only when

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n<2

n≤ 4

n≥ 4

The middle term of [1/x-x]¹⁰is

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-152

-252

371

-421

n! > 2ⁿ-1 is true when

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n≤ 3

n≤ 6

n≥ 4

n≤ 6

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 odd then the middle terms in the expansion of (a + x)ⁿare

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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

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 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

If n∈Z+ then(a+x)n is a/an

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Finite series

Convergent series

Infinite series

Divergent series

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

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Even

Odd

Prime

None of these

If the 4th term in the expansion of (px + x^-1)^mis 2.5 for all x∈ R, then

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

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84a³ b⁶

22a³b⁶

27a⁴b⁵

28a³b⁶

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

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(1 + 2x)⁴= ______

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1 + 4x + 6x²+ 4x³+ x⁴

1 - 4x + 6x²- 4x³+ x⁴

1 - 8x + 24x²- 32x³+ 16x⁴

1 + 8x+ 24x²+ 32x³+ 16x⁴

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

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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

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ab=-1

ab = 1

ab = 2

None

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

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

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1st term

4th term

2nd term

5th term

The fifteenth term of (3-a)¹⁵ is

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-17a¹²

-945a¹³

-941a¹³

-515a¹²

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

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

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|x| > 1

|x| < 1

x < 1

x > 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

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

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6

3

4

8

For≥ -2 , 1+3+5+......+(2n+5)

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(n+2)²

(n-2)²

2n+1

(n+3)²

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

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4013 x3a13

2208a13 x12

223x7a18

38080a13 x12

7²ⁿ+ 3^n-1. 2^3n-3is divisible by

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24

25

9

13

(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, 3^{2n + 7 is divisible by}

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7

8

9

10

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

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