Question # 1

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

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295

495

395

722

The middle term of [1/x-x]¹⁰is

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-152

-252

371

-421

The greatest term in the expansion of (3+2x)⁹, when x=1 is

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4th

4th and 5th

5th

6th

The expansion of (1 + 2x)^-2is valed if

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| x | < 1/2

| x | < 1

| x | < 2

| x | < 3

If nis positive integers, then 2ⁿ>2n+1, only when

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n≤ 3

n≥ 3

n≤ 2

n≤ 1

(0.90)^1/2is equal to

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0.99

0.90

0.80

0.88

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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2

7

8

12

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¹⁰C₆

¹⁰C₅

¹⁰C₄

None

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 fifteenth term of (3-a)¹⁵ is

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-17a¹²

-945a¹³

-941a¹³

-515a¹²

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

Number of terms in the expansion of (a+x)ⁿis

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n - 1

n + 1

n + 2

n + 3

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

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The expansion of (1 - 3x)^-1is valid if

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| x | < 1

| x | < 3

| x | < 1/3

None of these

(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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If n is any positive integer then n! > 2^n-1for

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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

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

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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)^-2are

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1 - 2x + 3x²

1 - 2x - 3x²

1 + 2x + 3x²

-2 - 2x +3x²

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

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77b²/a⁵

16b²/243 a⁵

17b⁴/43a⁵

25b³/43a⁵

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

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4013 x3a13

2208a13 x12

223x7a18

38080a13 x12

If n is any positive integer then n! > n²for

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

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217x⁴

15120x⁴

313x⁴

-25x⁴

n! > 2ⁿ-1 is true when

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n≤ 3

n≤ 6

n≥ 4

n≤ 6

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

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6

3

4

8

If n is add the expansion (a + x)ⁿhas middle terms

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2

3

4

5

(0.90)^1/2is equal to

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0.99

0.90

0.80

0.88

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)

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

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1700

17023

17027

17010

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

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|x| > 1

|x| < 1

x < 1

x > 1

The greatest integer which divides the number 101¹⁰⁰- 1 is

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100

1000

10000

100000

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