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...

Discrete Maths – 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 this inequalities depends on n value. 2. If , so is equal to: 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. 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. 4. Is the following expression true or false? Explain. If , so for any natural number n >= 1, 5. We have the following equality: Using the telescopic series method, prove that 6. Prove that 6.1 Assuming X is a set with more than 2 elements, calculate the result of the following sum: 7. We know that Prove that 8. We have the sequences an and bn: Using the mathematics induction method prove that this sequences have a recurrence relation: for