Principle of Mathematical Induction Test

Result

Principle of Mathematical Induction Test - 4

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Weekly Quiz Competition

Question 1
1 / -0

If n ∈ N then n³ + 2n is divisible by

A
2

B
3

C
4

D
6

Solution

When n = 1 the value is 3 and when n = 2 the value is 12. So the value of the expression when n = 1,2,3.... are multiples of 3 . hence it is divisible by 3.
Question 2
1 / -0

If n is a positive integer , then 2.7ⁿ + 3.5ⁿ − 5 is divisible by

A
64

B
17

C
24

D
676

Solution

When n = 1 the value is 24.When n = 2 , the value is 168 , which is the multiple of 24.
Question 3
1 / -0

If n is a +ve integer, then 4ⁿ + 3n + 5 is divisible by

A
2

B
3

C
4

D
6

Solution

Since n = 1 gives the value as 12 and when n = 2 gives 27....Hence the statement is divisible by 3.
Question 4
1 / -0

If n is a +ve integer, then 2.42ⁿ⁺¹ + 33ⁿ⁺¹ is divisible by

A
9

B
2

C
11

D
none of these

Solution

When n is replaced by 1,2,3... the value obtained is a multiple of 11.
Question 5
1 / -0

If n is a +ve integer, then 10ⁿ + 3.4ⁿ⁺² + 5 is divisible by

A
3

B
4

C
9

D
15

Solution

When n is replaced by 1,2,3.. the value obtained is a multiple of 9.
Question 6
1 / -0

If n is a +ve integer, then 3³ⁿ − 26n − 1 is divisible by

A
676

B
547

C
627

D
239

Solution

For n = 1 the value is 0. But when n = 2 the value is 676.
Question 7
1 / -0

If n is a +ve integer, then 2³ⁿ − 7n − 1 is divisible by

A
49

B
36

C
64

D
none of these

Solution

When n = 2 the value is 49.
Question 8
1 / -0

If n is a +ve integer, then 3.5²ⁿ⁺¹ + 2³ⁿ + 1 is divisible by

A
17

B
24

C
64

D
none of these

Solution

When n = 1 the value is 391 which is divisible by 17.
Question 9
1 / -0

If n is a +ve integer, then 7²ⁿ − 4 is divisible by

A
2973

B
2937

C
2397

D
none of these

Solution

When n = 2 the value is 2397

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Re-Attempt Weekly Quiz Competition

Principle of Mathematical Induction Test - 4

Result

Principle of Mathematical Induction Test - 4

Score

-

Rank

-

SHARING IS CARING

Question 1

2

3

4

6

Solution

Question 2

64

17

24

676

Solution

Question 3

2

3

4

6

Solution

Question 4

9

2

11

none of these

Solution

Question 5

3

4

9

15

Solution

Question 6

676

547

627

239

Solution

Question 7

49

36

64

none of these

Solution

Question 8

17

24

64

none of these

Solution

Question 9

2973

2937

2397

none of these

Solution

User

Question Analysis

My Perfomance

Score

-

Rank

-

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