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Prove that no matter what the real numbers a and b are the sequence with nth term a nb is always an AP?
By "the nth term" of a sequence we mean an expression that will allow us to calculate the term that is in the nth position of the sequence. For example consider the sequence 2, 4, 6, 8, 10,... The pattern is easy to see. # The first term is two. # The second term is two times two. # The third term is two times three. # The fourth term is two times four. # The tenth term is two times ten. # the nineteenth term is two times nineteen. # The nth term is two times n.
In this sequence the nth term is 2n.
What else can I help you with?
How can you prove there is no largest prime number?
No. No matter how large of an example you choose, someone always can find a larger number (of any kind), because the upper range of number is infinite. If you take all the known prime numbers and multiply them together, then add 1 to the result, you will have a number that is not divisible by any of the known prime numbers. This number will either be prime or have prime factors that were not previously known. So, in this way, you can always find a new prime number or a number that is a multiple of new prime numbers. If the known prime numbers include all the prime numbers up to the largest known, the new ones must be larger.
How do you prove the set of rational numbers are uncountable?
They are not. They are countably infinite. That is, there is a one-to-one mapping between the set of rational numbers and the set of counting numbers.
How do you prove that if a real sequence is bounded and monotone it converges?
We prove that if an increasing sequence {an} is bounded above, then it is convergent and the limit is the sup {an }Now we use the least upper bound property of real numbers to say that sup {an } exists and we call it something, say S. We can say this because sup {an } is not empty and by our assumption is it bounded above so it has a LUB.Now for all natural numbers N we look at aN such that for all E, or epsilon greater than 0, we have aN > S-epsilon. This must be true, because if it were not the that number would be an upper bound which contradicts that S is the least upper bound.Now since {an} is increasing for all n greater than N we have |S-an|
Trigonometry prove questions?
Neither trigonometry nor any other subject can be used to prove questions. It may be possible to answer questions but that is another matter,
In math what one thing do you need to prove a statement is false?
To prove a statement false, you need ONE example of when it is not true.To prove it true, you need to show it is ALWAYS true.
How can you determine if a number is rational?
If the number can be expressed as a ratio of two integer (the second not zero) then the number is rational. However, it is not always a simple matter to prove that if you cannot find such a representation, then the number is not rational: it is possible that you have not looked hard enough!
How can you prove that something is matter?
if it has mass
How do you prove that the sum of a convergent sequence divided by n will converge?
You can use the comparison test. Since the convergent sequence divided by n is less that the convergent sequence, it must converge.
How a small amount of data cannot prove that a prediction is always correct but can prove it is not always correct?
Real small
Why must every proposition in an argument be tested using a logical sequence?
A logical sequence in an argument is a way to prove a step has a logical consequence. Every proposition in an argument must be tested in this fashion to prove that every action has a reaction.
How can we prove that matter occupies space?
Inflate a balloon.
Why can we never prove that a hypothesis true?
A hypothesis can never be proven true because there is always a possibility that it can be disproved. No matter how many times something happens, and how sure you think you are that it will happen again, there are always other possibilities that have not been explored.
How can you prove there is no largest prime number?
No. No matter how large of an example you choose, someone always can find a larger number (of any kind), because the upper range of number is infinite. If you take all the known prime numbers and multiply them together, then add 1 to the result, you will have a number that is not divisible by any of the known prime numbers. This number will either be prime or have prime factors that were not previously known. So, in this way, you can always find a new prime number or a number that is a multiple of new prime numbers. If the known prime numbers include all the prime numbers up to the largest known, the new ones must be larger.
How can you prove that your friends are TRUE?
if they are always there if i need them.,
How can you prove everybody that you don't like someone?
Why prove anything to people, who do not matter in your life, unless ofcourese they start suffocating you.
Given an arbitrary sequence of digits how can you prove it appears somewhere in pi?
It has not yet been proven whether any arbitrary sequence of digits appears somewhere in the decimal expansion of pi.
What did glaileo prove when he dropped the orange and the grape?
he dropped them to prove that gravity pulls things down at the same speed no matter what their weight
