All language subtitles for 1. Arithmetic Sequence - General Introduction and Explanation

What is going on, beautiful people and in this video, what we are going to do is to talk about arithmetic

sequence or arithmetic progression as it's known in math.

And probably if you were a good student from your math class, it is classes at school.

So just a quick reminder of what it really is of what this arithmetic sequence is just all about.

So basically, it's a sequence of numbers arranged in some common manner.

OK, and this sequence follows one common rule.

So let's just take my laser here.

And this rule simply refers to the fact that the difference between any two consecutive terms and two

consecutive values in this sequence are going to be the same.

OK, he's going to be the same.

So one in three have a difference of just two and three and five, also two.

And that's how you go.

And that's basically the rule regarding this example of the arithmetic sequence.

So once again, as you can see in our example, that we have a sequence with a common difference of

two.

So every time you will move from the first the initial term to the next term, you simply will add the

value of two.

So that's called the difference of an arithmetic sequence.

Also, if you would like to specify a couple of terminologies, then we can say that we also have this

initial term.

Right, which is a one and it's simply the first term.

OK, the first value in this given sequence.

So initial theorem A1, in this case, it's equal to one.

The difference equals to two.

That's how we noted is the difference a one initial term.

And we can also assume that in this case specifically, OK, in advanced math classes, there are also

additional complicated exercises.

But we can also assume that this sequence.

Right.

Is Freenet OK?

And it contains a finite amount of terms, just like we can see in our example in the number of terms

in this arithmetic sequence.

He's also noted as an OK so and specifies the total terms in this sequence.

Awesome.

So finally, of the last definition that we have regarding these with sequence is that we specify the

anthe term in this sequence as a N OK, so and simply specifies the last term of the fifth term in this

sequence.

So basically in this case we know that in equals to nine.

So this could also be specified as a of nine, eight of nine equals to 17.

So the first element is of value one, the second of value three.

The third of value five.

So on.

So forth.

And the last element, which is element nine is of value seventeen.

Great.

So I hope you've got a hold of the basics, terminologies of the things you should have studied in your

math classes if you were a good student.

And now let's talk about a couple of exercises.

So what we will see, what you will see in these exercises is that basically they are not going to be

very complex.

What you will be given is some of the terminologies we've just talked about.

OK, so you will have these these these a wand and or a m the last term.

And based on these given details that will have regarding a sequence, the in arithmetic sequence,

you will have to make some calculations based on some formula that I will also give you.

And to find, for example, if these D is missing to find these days and if we don't know exactly how

many elements these are with Medek sequence has, so we will be able to calculate it.

Or for example, we will calculate the sum of all the values in this arithmetic sequence, not just

going one after the other and using the calculator like one plus three plus five plus lalalala 17.

Or maybe we will have here, I don't know, one thousand and one.

So that's going to be a very messy and long process.

So what you will have to do is simply to use some formula that I'm going to give you and to simply take

the values, put them inside the formula and find the solution.

And if.

That's something we are also going to do, not want a piece of paper, but in our programming language.

So I hope you are ready and basically let's go.