Binomial Theorem and Mathematical lnduction Test

Result

Binomial Theorem and Mathematical lnduction Test - 41

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Weekly Quiz Competition

Question 1
4 / -1

A

B

C

D
None of these

Solution
Question 2
4 / -1

A

B

C

D

Solution
Question 3
4 / -1

A
An irrational number

B
An odd positive integer

C
An even positive integer

D
A rational number other than positive integers

Solution
Question 4
4 / -1

A
32

B
33

C
34

D
35

Solution
Question 5
4 / -1

A
1

B
5

C
25

D
100

Solution
Question 6
4 / -1

A
True for all n > 1

B
Not true for any n

C
True for all n ∈ N

D
None of these

Solution
Question 7
4 / -1

A
n > 1

B
n ≥ 1

C
n > 2

D
n ≥ 2

Solution
Question 8
4 / -1

Let P(n) denote the statement that n² + n is odd. It is seen that P(n) ⇒ P(n + 1), P_n is true for all

A
n > 1

B
n

C
n > 2

D
None of these
Question 9
4 / -1

If P(n) = 2 + 4 + 6 + ... + 2n, n ∈ N, then P(k) = k(k + 1) + 2 ⇒ P(k + 1) = (k + 1) (k + 2) + 2 for all k ∈ N. So we can conclude that P(n) = n(n + 1) + 2 for

A
All n ∈ N

B
n > 1

C
n > 2

D
Nothing can be said
Question 10
4 / -1

The fourth term in the expansion of (1 - 2x)^3/2 will be

A

B

C

D

Solution