Consider the sequence: 2,4,8,16,32
Is this sequence arithmetic or geometric?

Question

01-03-2022
Mathematics

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Consider the sequence: 2,4,8,16,32
Is this sequence arithmetic or geometric?

Sagot :

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SenorMathWiz SenorMathWiz · Answer 1 · 2022-03-01T19:06:11-05:00

Answer:

geometric sequence

Step-by-step explanation:

In an arithmetic sequence the terms increase or decrease by the same amount each time. In a geometric sequence the terms are multiplied by a common ration.

The given sequence, 2,4,8,16,32 the terms do not increase by a constant number each time and they are instead multiplied by a common ratio.

Eg. to get to 4 from 2 you multiply by 2, to get to 8 from 4 you multiply by 2. this same process happens throughout the sequence therefore this is a geometric sequence

LeCoolKid LeCoolKid · Answer 2 · 2022-03-01T19:07:31-05:00

Answer:

The sequence is geometric

Step-by-step explanation:

The sequence is geometric.

Definition of geometric sequence: A sequence where the next number is made by multiplying the common ratio with the previous number.

In this sequence, there is 2, 4, 8, 16, and 32

4 is made by multiplying 2 with the common ratio, which is true

8, is made by multiplying 4 with the common ratio, 2

As you can see, the numbers have a common ratio of 2, which means this sequence is geometric

Let me know in the comments if you have any questions. If you could mark this answer as the brainliest, I would very much appreciate it!

Sagot :

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