Discrete Maths – Exercises MULTIPLE CHOICE – JUST ONE OF THE AVAILABLE ANSWERS IS TRUE...

Question

Discrete Maths – Exercises    MULTIPLE CHOICE – JUST ONE OF THE AVAILABLE ANSWERS IS TRUE XXXXXXXXXXAccording to this inequalities:    What can we say?  a) They are both true;  b) Inequality i is always false;  c) Inequality ii is always false;  d) The truth of this inequalities depends on n value XXXXXXXXXXIf , so  is equal to: XXXXXXXXXXAccording to the sequence , consider the following affirmations:    i.  matches the sequence defined by   ii. Each term of the given sequence is multiple of 5.    a) Both of the affirmations are false;  b) The affirmation i is true but ii is false;  c) The affirmation ii is true but i is false;  d) Both of the affirmations are true XXXXXXXXXXIs the following expression true or false? Explain.    If , so for any natural number n >= 1, XXXXXXXXXXWe have the following equality: XXXXXXXXXXUsing the telescopic series method, prove that               XXXXXXXXXX6. Prove that XXXXXXXXXXAssuming X is a set with more than 2 elements, calculate the result of the following sum:    7. We know that    Prove that XXXXXXXXXXWe have the sequences an and bn: XXXXXXXXXXUsing the mathematics induction method prove that this sequences have a recurrence relation: XXXXXXXXXXfor
	
Document Preview: Discrete Maths – ExercisesMULTIPLE CHOICE – JUST ONE OF THE AVAILABLE ANSWERS IS TRUE.According to this inequalities:What can we say?They are both true;Inequality i is always false;Inequality ii is always false;The truth of this inequalities depends on n value.If , so   is equal to:According to the sequence , consider the following affirmations: matches the sequence defined by  Each term  of the given sequence is multiple of 5.Both of the affirmations are false;The affirmation i is true but ii is false;The affirmation ii is true but i is false;Both of the affirmations are true.Is the following expression true or false? Explain.If , so for any natural number n >= 1,We have the following equality: XXXXXXXXXXUsing the telescopic series method, prove that                                                           Prove that        Assuming X is a set with more than 2 elements, calculate the result of the following sum: We know that Prove that We have the sequences an and bn:Using the mathematics induction method prove that this sequences have a recurrence relation:	for

David · Accepted Answer

Discrete Mathematics – Exercises
MULTIPLE CHOICE – JUST ONE OF THE AVAILABLE ANSWERS IS TRUE 
1. According to this inequalities:
What can we say? 
a) They are both true; 
b) Inequality i is always false; 
c) Inequality ii is always false; 
d) The truth of these inequalities depends on n value. 
Solution: Both the inequalities are true.  
When we keep the value of n = 1  
 
2
1
1
1
1
3






 
 kk
kk  
 11  
Similarly, through mathematical induction for all the values of n the inequalities holds equal. 
Thus both inequalities are true.
2. If , so   is equal to:
Solution: The forward difference operator, kkk aaa  1 .  
 












 
 
1
1
)1(
1
)1( 1
k
n
k
n
a kkk   
 




















 

1
11
)1(
k
n
k
n
a kk  
By Pascal’s identity,  
 






k
n
a kk )1(
3. According to the sequence , consider the following 
affirmations:
i.  matches the sequence defined by
ii.         Each term  of the given sequence is multiple of 5. 
What can we say? 
 a) Both the affirmations are false. 
 b) The affirmation i is true but affirmation ii is false. 
 c) The affirmation ii is true but affirmation i is false.

Discrete Maths – Exercises MULTIPLE CHOICE – JUST ONE OF THE AVAILABLE ANSWERS IS TRUE XXXXXXXXXXAccording to this inequalities: What can we say? a) They are both true; b) Inequality i is always...

Solution

Answer To This Question Is Available To Download

Related Questions & Answers

Submit New Assignment