Which sequences are geometric check all that apply

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Video Transcript
Which sequences are geometric sequences?
How do you tell if a sequence is geometric?
What are 2 examples of geometric sequence?
What is geometric sequence answer?

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Video Transcript

So first, let's defined what a geometric sequence is. A geometric sequence is when i'm multiplying or dividing by the same number to get to the next number. This is different than an arithmetic sequence. What is an arithmetic sequence? This is when i'm adding or subtracting by the same number. Okay! So let's investigate this, how do i get from 10 to 7.5? Well, 1 thing i could do. I could do 7.5 divided by 10, so i could multiply by 0 point 7. 5 right how to get that the next term over the previous term? Okay, so then for this to be geometric is 7 point: 5 times: .755.625. Yes, okay times, 0.7. 5.7. 5. Is this 4 point d s? It is so i'm multiplying by the same number. So this is in fact geometric what about here? How did you get from 160 to 40 point? Well, if you can't figure it out, you could do the next term 40 over the previous term 160, or what you could think about is 16 divided by 4 or 16. Divided by 40 is 4, so i could be divided by 4. Each time 160, divided by 4 is 40 yet divided by has to be the same. Number 4 is 10, yet is 10 divided by 42.5? Yes, so this is also geometric. Okay, what about this? Next? 1? Okay? So how to give him 20 to 70 point. So again, let's try times the next term over the previous term. So is this time 7 over 2, okay or times 3. Point 5 is the same thing: okay is 70 times 3.5 to 45. It is and i'm multiplying by 3.5 again times 3.5. Is it 857 o? 5? Yes, so that is also geometric. What about this 1, so the next term 5.5 divided by 5. I divide that in my calculator, it's times: 1.1, okay, so and my multiplying by 1.1. Here, okay, so that's 5.5 times 1.1. 6.05. That is times 1.166 .655, yet it is so all of these are geometric so far. Okay, what about here, what have been multiplying by well 17.1 divided by 16. Let'S see if that simplifies when i divided some a calculator not necessarily times 17.1 divided by 16. Okay, so 17 times 17.1 divided by 16 point. This is 8.27 and this would go on not forever. So this is not exactly what this is is i'm probably adding 1.1 to each term each time. So this is actually be arithmetic sequence, not a geometric sequence or i'm adding that multiplying by the same number.

Which sequences are geometric sequences?

A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant. where r is the common ratio between successive terms. Example 1: {2,6,18,54,162,486,1458,...}

How do you tell if a sequence is geometric?

MathHelp.com. A geometric sequence goes from one term to the next by always multiplying (or dividing) by the same value. So 1, 2, 4, 8, 16,... is geometric, because each step multiplies by two; and 81, 27, 9, 3, 1, 31 ,... is geometric, because each step divides by 3.

What are 2 examples of geometric sequence?

What are 2 examples of geometric sequence? 2, 14, 98, 686, .... is a geometric sequence with a common ratio of 7 and first term 2. 2, 2/7, 2/49,... is a geometric sequence with a common ratio 1/7 and first term 2.

What is geometric sequence answer?

A geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio, r. an=an−1⋅roran=a1⋅rn−1.