10, 12, 22, 32, 42,... I say that this sequence is not geometric or arithmetic. Is this right?
Correct, the numbers 10, 12, 22, 32 do not follow an easy pattern.
To determine if a sequence is arithmetic or geometric, we need to analyze the differences or ratios between consecutive terms.
Let's first check if the sequence is arithmetic:
10, 12, 22, 32, 42
The difference between each term is:
12 - 10 = 2
22 - 12 = 10
32 - 22 = 10
42 - 32 = 10
Since the differences are not constant, the sequence is not arithmetic.
Now let's check if the sequence is geometric:
10, 12, 22, 32, 42
The ratios between each term are:
12 / 10 = 1.2
22 / 12 = 1.83
32 / 22 = 1.45
42 / 32 = 1.31
Since the ratios are not constant, the sequence is not geometric either.
Therefore, you are correct in your assessment that this sequence is neither arithmetic nor geometric.
To determine whether a sequence is arithmetic or geometric, we need to analyze the differences between consecutive terms in the sequence.
Let's find the differences between consecutive terms in the given sequence:
12 - 10 = 2
22 - 12 = 10
32 - 22 = 10
42 - 32 = 10
Looking at the differences, we can see that they are not constant, which means the sequence is not arithmetic.
Next, let's examine the ratios between consecutive terms in the sequence:
12 / 10 = 1.2
22 / 12 = 1.8333...
32 / 22 = 1.4545...
42 / 32 = 1.3125
The ratios are also not constant, indicating that the sequence is not geometric either.
Therefore, you are correct. The given sequence is neither arithmetic nor geometric.