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.
if it has mass
You can use the comparison test. Since the convergent sequence divided by n is less that the convergent sequence, it must converge.
Matter is anything that has mass and takes up space.
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.
Inflate a balloon.
because matter has weight and occupy space
The classical definition says anything that occupies space is matter. To prove air occupies space we can do a small experiment. Take a balloon and blow air in it. The balloon expands and this proves that air occupies space. And thus we can prove air is matter.
if they are always there if i need them.,
conservation of mass (matter)
Matter is anything that has volume and weight. To prove that air occupies space. Simply blow a balloon to prove air occupies space. To prove air has weight Tie a inflated balloons to a ruler and burst one of them. The side of the ruler with an inflated balloon will move down. To prove that air has weight.
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.