Is 2, 3, 5, 8, 12 arithmetic, geometric, neither, or both?
neither
how much is five plus eight?
How come its neither? Why isn't it arithmetic?
Huh??
I want to know if the pattern is geometric, arithmetic, both of them, or neither.
I suggest you believe Bobpursley. He's a retired professor.
Okay thank you. But I wanted to know why. I didn't just come for an answer to cheat on homework. I need to understand it.
http://www.regentsprep.org/regents/math/algtrig/atp2/indexatp2.htm
2 + 1 = 3
3 + 2 = 5
5 + 3 = 8
8 + 4 = 12
this is irrelevant but this is what i got 4 years later sksk
To determine whether the sequence 2, 3, 5, 8, 12 is arithmetic, geometric, neither, or both, let's first understand the characteristics of each type of sequence.
1. Arithmetic sequence: In an arithmetic sequence, each term after the first is obtained by adding a constant difference (d) to the previous term. For example, 2, 4, 6, 8 is an arithmetic sequence with a common difference of 2.
2. Geometric sequence: In a geometric sequence, each term after the first is obtained by multiplying the previous term by a constant ratio (r). For example, 2, 4, 8, 16 is a geometric sequence with a common ratio of 2.
Now, let's analyze the given sequence, 2, 3, 5, 8, 12:
To determine if the sequence is arithmetic, we'll check if the difference between consecutive terms is constant.
Difference between the 2nd and 1st term: 3 - 2 = 1
Difference between the 3rd and 2nd term: 5 - 3 = 2
Difference between the 4th and 3rd term: 8 - 5 = 3
Difference between the 5th and 4th term: 12 - 8 = 4
As we can see, the differences are not constant. Therefore, the sequence is not arithmetic.
To determine if the sequence is geometric, we'll check if the ratio between consecutive terms is constant.
Ratio between the 2nd and 1st term: 3 / 2 = 1.5
Ratio between the 3rd and 2nd term: 5 / 3 ≈ 1.67
Ratio between the 4th and 3rd term: 8 / 5 = 1.6
Ratio between the 5th and 4th term: 12 / 8 = 1.5
The ratios are not constant either. Therefore, the sequence is not geometric.
In this case, the given sequence is neither arithmetic nor geometric.