Question # 1

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

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(1+x)-3

(1-x)-2

(1-x)-3

(1+x)-2

The sum of the odd coefficients in the expansion of (a + x)⁴is

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14

12

8

4

The seventh term of (x3+1/x)8is

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71

-22

27

28

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

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If n is any positive integer ,t hen 2+4+6+......+2 n=

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2ⁿ-1

2ⁿ+1

n²+1

n(n+1)

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

(x3-1/x)12

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295

495

395

722

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

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ⁿC_r

ⁿ⁺¹C_r+1

ⁿC_r+1

None

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 sum of first n even number is

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n2

n(n+1)

n+1

n+2

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

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295

495

395

722

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ab=-1

ab = 1

ab = 2

None

The middle term of (x-y)⁸is

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25 x⁴y⁴

70 x⁴y⁴

120 x⁴y⁴

97x⁴y⁴

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

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32

16

8

5

The sum of even coefficient in the binomial expansion is

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2ⁿ⁺¹

2ⁿ

2^n-1

2n

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

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

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1700

17023

17027

17010

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¹⁰C₆

¹⁰C₅

¹⁰C₄

None

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 n∈Z+ then(a+x)n is a/an

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Finite series

Convergent series

Infinite series

Divergent series

There is no integer n for which 3n is

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Even

Prime

Odd

Real

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

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120

1512

1250

15120

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8

9

10

11

When we expand (a + 2b)⁵then

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a⁵+ 10a⁴b + 40a³b²+ 80a²b³+ 80ab⁴+ 32b⁵

a⁵+ a⁴b + a³b²+ a²b³+ ab⁴+ b⁵

5a⁵+ 4a⁴b + 3a³b²+ 2a²b³+ 1 ab⁴+ b⁵

None

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

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1700

17023

17027

17010

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

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

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16

30

8

32

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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