Question # 1

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

Choose an answer

The coefficient of xn in the expansion of (1-x)-1 is

Choose an answer

(-1)n2n

1

(-1)n(n+1)

(n+1)

The first three terms in the expansion of (1 - x)^-3are

Choose an answer

1 + 3x + 6x²

1 - 3x + 6x²

-3 - 3x - 6x²

1 - 3x - 6x²

for n€ N, 3^{2n + 7 is divisible by}

Choose an answer

7

8

9

10

The sum of even coefficient in the binomial expansion is

Choose an answer

2ⁿ⁺¹

2ⁿ

2^n-1

2n

In the expansion of (x+y)n the coefficient of 5th and 12th terms are equal then n=

Choose an answer

12

n=14

17

n=15

7²ⁿ+ 3^n-1. 2^3n-3is divisible by

Choose an answer

24

25

9

13

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

Choose an answer

6th term

6thor 7th

7th term

6thand7th

n! > 2ⁿ-1 is true when

Choose an answer

n≤ 3

n≤ 6

n≥ 4

n≤ 6

If n is any positive integer then 3 + 6 + 9 + ....+ 3n = ______

Choose an answer

(0.90)^1/2is equal to

Choose an answer

0.99

0.90

0.80

0.88

The third term in the expansion of (1+2x) is

Choose an answer

-2x2

-4x2

2x2

4x2

The number of terms in the expansion of (a + b)⁹is

Choose an answer

10

11

9

12

n(n-1)(2n-1), for all natural numbers n, is divisible by

Choose an answer

12

6

2

18

When we expand (a + 2b)⁵then

Choose an answer

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

a⁵+ a⁴b + a³b²+ a²b³+ ab⁴+ b⁵

5a⁵+ 4a⁴b + 3a³b²+ 2a²b³+ 1 ab⁴+ b⁵

None

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

Choose an answer

84a³ b⁶

22a³b⁶

27a⁴b⁵

28a³b⁶

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

Choose an answer

6

3

4

8

The sum of the cubes of three consecutive natural number is divisible by

Choose an answer

9

6

5

10

The proposition S(k+1) is true when ______ is true∀K∈N

Choose an answer

S(n)

S(k)

S(1)

S(k-1)

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

Choose an answer

|x| > 1

|x| < 1

x < 1

x > 1

The sum of the even coefficients in the expansion (1 + x)ⁿis

Choose an answer

n²

2^n-2

2^n-1

2ⁿ

The exponent of x in 10th term in the expansion of (a+x)n

Choose an answer

10

12

11

9

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

Choose an answer

If the sum of co-efficient in the expansion of (a+b)ⁿis 4096, then the greatest co-efficient in the expansion is

Choose an answer

1594

792

924

2924

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

Choose an answer

2ⁿ-1

2ⁿ+1

n²+1

n(n+1)

If x+y+z+......+2n = 2n+1-1∀n∈W,then cube root of xyz is equal to

Choose an answer

1

4

2

8

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

Choose an answer

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

Choose an answer

There are two middle terms in the expansion of (a+x)n if n is

Choose an answer

Even +ve integer

+ve integer

Odd +ve integer

All

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

Choose an answer

1700

17023

17027

17010

More Classes

Other Links

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

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer