Question # 1

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

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

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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

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

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217x⁴

15120x⁴

313x⁴

-25x⁴

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

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77b²/a⁵

16b²/243 a⁵

17b⁴/43a⁵

25b³/43a⁵

The sum of coefficients in the binomial expansion equals to

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2

2ⁿ⁺¹

2^n-1

2ⁿ

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

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32

16

8

5

There is no integer n for which 3ⁿis

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Odd

even

Natural

Prime

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

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(1+x)-3

(1-x)-2

(1-x)-3

(1+x)-2

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

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1700

17023

17027

17010

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

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

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6th term

6thor 7th

7th term

6thand7th

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

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295

495

395

722

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

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217 x4

15120x4

313x4

-25x4

The last term of (1+2x)-2

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(-1)-2 (2x)-2

(-1)-4(-2x)-2

(-1)-3(2x)-3

Does not exist

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405 / 256

504 / 259

450 / 263

None

for n€ N, 3^{2n + 7 is divisible by}

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7

8

9

10

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

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n - 1

n + 1

n + 2

n + 3

For each natural number n, n (n+1) is

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an even

an odd

multiple of 3

Irrational

If n∈Z+ then(a+x)n is a/an

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Finite series

Convergent series

Infinite series

Divergent series

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2 and 9

3 and 2

2/3 and 9

3/2 and 6

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n < 8/5

n < 5/8

|n| < 8/5

|n|>8/5

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8

9

10

11

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

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| x | < 1/2

| x | < 1

| x | < 2

| x | < 3

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 n is any positive integer then n! > n²for

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

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The greatest integer which divides the number 101¹⁰⁰- 1 is

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100

1000

10000

100000

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

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Imaginary

Rational

Irrational

Real numbers

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ECAT Pre General Science Mathematics Chapter 10 Mathematical Induction Online Test MCQs With Answers

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