00:02
Hello.
00:04
So the screen shot that you sent over with your question had a few separate parts, and i can't go over all of them, but i will go over the top part so that we can kind of discuss what geometric sequences, and hopefully that'll help with the rest of the worksheet.
00:19
Geometric sequence basically means that this is related by multiplication.
00:24
It's a multiplicative relationship.
00:28
And so that means if i can find two terms in a sequence like these sequences that are listed here, if i can find two that are next to each other, then i can go through and figure out what multiplication problem am i doing to get from one term to the next term.
00:42
So for example, on that first one, i'm going from three to 12 and then from 12 to 48.
00:48
And then, then i'll be going from 48 to another number.
00:52
But this rule that i'm doing between each one is going to be the same and it's going to be a multiplication problem.
00:58
So to get from 3 to 12, i have to multiply here by 4, which means this should be multiplying by 4.
01:03
And it is 12 times 4 is 48.
01:05
So to get to the next number, that means i need to do 48 times 4, which gives me 192.
01:15
So then as i keep going, so i can't really do anything with negative 5 because it's not next to another term.
01:20
But i do have this relationship here.
01:23
So to get from 40 to negative 80, i have to multiply this time by a negative number, negative two.
01:29
So that means each time i'm multiplying here by negative two to get to the next number.
01:36
So five times, i'm sorry, negative five sends negative two.
01:40
So the two negatives will cancel and give me a positive 10.
01:43
And then positive 10 times negative two is going to be negative 20 times negative 2 does give me negative 40 or positive 40.
01:55
So that means i'm definitely going to be able to work with those two numbers there.
02:01
For the third example, i have 16 and 64 next to each other.
02:06
And to get from 16 to 64, i'm multiplying by four.
02:09
So that means each time i'm here i'm multiplying by four.
02:12
So one times four is going to give me four there...