okay let's talk about constitutive integers in algebra so you know in arithmetic we know what is consecutive integers right so for example let me actually explain you a right I admit it you know consecutive integers is basically like we can say one two three or these are basically consecutive integers one after another it's just one after another if I say two four six and so on this is also consecutive in C disperse what kind of integer it is is called even even right now there is another set one three five seven and we call it what hard integers okay so these are basically what arithmetic now in terms of algebra right what are the conjugate of integers in algebra so the first consecutive integers is you clearly see here is going to be the X well avoids X because algebra is unknown right algebra is unknown you have to know it you have to find it so first consecutive integers is always the X okay well what any variable I would actually refer anybody okay I shouldn't say X but any variable would find any unknown okay second consecutive is x plus 1/3 conjugative is X plus 2 okay so how do you know this is what the answer is let's verify it actually give me a number in your choice okay you're saying five all right let's let X equal to five now inspecting X equal to five you're saying X equal to 5 so 5 plus 1 which gives you 6 and that's 4 over here also you sing 5 plus 2 because you said X equal to 2 so it's going to give you 7 now have some observation isn't it comes Akita green teasers monitor now that you found see that so this is called consecutive integers now I'm gonna play another example here okay I'm gonna be another example I'm gonna say let's give me another example okay let X equal to what you got 20 okay let's get 20 all right so let's make it more visible each one okay so we have a 20 let's take a look here so I'm gonna have X equal to 20 the first one X equal to 20 the next one next consecutive integers you know X plus 1 so 20 last one which is gonna give you 21 and next one you're gonna have executed s so Mexico 20 so 20 plus 2 which is 22 in other word I can actually do it here mister getting X I can even put down 20 right here ok so you can see the differences so that is the first outcome because you are sewn this is your 20 were picking up a number 20 next one gives you 21 the folding gives you 22 that's what one after another so those are consecutive integers ok so that's how you know these are you consecutive integers in algebra first one is X he usually mainly textbook they use X X plus 1 X plus 2 and based on that you do have some application problem another video I'm going to come up with application problem like find the sum of 3 consecutive integers find the sum of 2 consecutive integers okay many many grade-level right algebra this question is there okay so let's actually move into the next set all right so they said consecutive odd integer so you trying to have a little bit filling what about the audience I just explained earlier right or means 1 3 5 and so on now give me an number please give me a number any choice what 9 okay you say 9 so let taxi - nine okay so I'm gonna say X equal to nine and over here I'm gonna say nine plus two which is eleven over here I'm gonna say nine plus four so we said how do you come out on all those night so I'm assuming okay let's use this this X is 9 + 4 is there I just rewrite those fold like so that is gonna be 13 so that's what you have 9 comma 11 comma 13 and they are odd number each time you see guys I'm gonna have another example I'm gonna ask someone to give me another example here okay please give me a number okay what you were saying what 11 okay just 11 X equal to 11 so you're assuming X equal to 11 so I'm gonna actually put that here you see the X equal to 11 okay next one is execute 11 plus 2 which is 13 okay and then 11 plus 4 which is 15 so guys no matter what you do is gives you basically like this one is 11 comma 13 comma 15 they're basically all integers one after another so that makes sense now I'll mix you guys the second number is not gonna be x + 1 second number you always you should start X plus 2 you know third X plus 4 except it cause you could even Jesus if they say order even down here I'm going to show you you basically do the same thing it's basically same thing let me show you here now you we are talking about if the if question asked you find two consecutive even integers whose sum is this and that okay so first thing you have to know how to write down first on and second on and third of them so this is how we do or Denis when it's basically say anymore some we said how come then we get old and even so keep me let's have an example let X equal two while since we are doing even integers right give me an even number please in your choice well eight okay someone said eight okay so let's start with eight so I'm going to actually put down here X let's do this red color here X equal to eight you just said eight then I'm going to have 8 plus 2 which is 10 and then I'm going to have 8 plus 4 I have 12 guys what is happening look 8 10 12 and all of them are even numbers even integers you could really see that right I'm gonna have another example so you are completely clear about this consecutive integers okay so next one you're gonna give me a number let X equal to in this case what I'm gonna make up one I'm gonna make up with the easy one okay just number two I'm assuming s number two is my even integers well you can come up with number two hundred steel is going to be same thing okay you know what let's make it 200 with the big number you should see big number right okay so first one is 200 second one is 200 plus to 200 plus two that's two hundred two and the following one should be two hundred plus four so two hundred whole guess what all done even two hundred two hundred to two hundred four and all of them are even integers that's how you deal with that's how you deal with consecutive integers and also that's how you know that they're going to give you nice outcome as question asked you so you have to know first second third at least and you go further you look for more so what we learn from this discussion here look at these guys we learn that once question asks you find three consecutive integers we just come up with like this X first one second one is X plus two third one is so second one is X plus one third one is X plus two you just you know go down here easily without any interruption okay so and the next one is basically or or than even there is a similarity you use the same thing basically okay X second one is X plus two third one is X plus four if there is a fourth one is going to be X plus six both of them okay and that's all that's how you deal with it thank you