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Current time:0:00Total duration:2:28

Graphing sequence relationships

CCSS.Math:

Video transcript

you are given the following starting numbers and rules for two sequences of numbers so the first sequence sequence X starting starting number should be 1 and then the rule is add one sequence y starting number should be 5 and then the rule should be add 5 fill in the table with the first 3 terms of x and y then plot the ordered pairs X comma Y on the graph below so let's see sequence X they say the starting number the starting number should be 1 so the starting number is 1 and then the rule to get to the next number you just add 1 so 1 plus 1 is 2 2 plus 1 is 3 fairly straightforward now let's look at sequence Y they saying the starting number should be 5 starting number five and then the rule is to get the next term we just add 5 so 5 plus 5 is 10 10 plus 5 is 15 now they want us to plot these things so let's see and we plot them we plot them as ordered pairs so we're going to the point 1 comma 5 so when X is 1 Y is 5 we see that there X is 1 Y is 5 when X is 2 y is 10 when X is 2 y is 10 and then when X is 3 y is 15 when X is 3 y is y is 15 and we see that for every for every one we move to the right for every one we increase in the horizontal direction every one we increase in X we increase 5 4 we increase 5 for y we increase 1 for X we increase 5 for Y so now we just have one less thing to answer the terms in sequence y our blank x the terms in sequence x so you immediately see this term 5 is 5 times 1 10 is 5 times 2 15 is 5 times 3 and it makes sense you started 5 times higher and here you added 1 each time and we see that visually right over here we add on each time while here we add five times as much each time we had five each time so the terms in sequence why are five times the terms in sequence X we got it right