Could somebody help me with this Maths squence 2N + 2, 3N - 1 , 10N + 6

They look like three arbitrarily assigned rules to me. I have no idea what the following terms might be.

Are you sure that each or these terms doesn't define a specific sequence?

16n+7

Of course! I can help you with that math sequence. The sequence you provided is:

2N + 2, 3N - 1, 10N + 6

To understand the pattern in this sequence, we need to observe the sequence terms and look for any similarities or rules.

Let's calculate the value of N = 1 and N = 2 to see if we find a pattern:

For N = 1:
2N + 2 = 2(1) + 2 = 4
3N - 1 = 3(1) - 1 = 2
10N + 6 = 10(1) + 6 = 16

For N = 2:
2N + 2 = 2(2) + 2 = 6
3N - 1 = 3(2) - 1 = 5
10N + 6 = 10(2) + 6 = 26

Now let's examine the differences between consecutive terms:

Difference between the 2nd and 1st terms: 2 - 4 = -2
Difference between the 3rd and 2nd terms: 5 - 2 = 3

Looking at these differences, we can see that there isn't a constant difference between consecutive terms. This suggests that the sequence does not have a simple arithmetic pattern.

To find a general rule for this sequence, we need to look for a relationship between the terms. The relationship between these terms may not be as straightforward as a simple arithmetic or geometric sequence.

It's possible that there is a more complex rule behind this sequence, such as a quadratic or exponential relationship. Without further information, it is difficult to determine the exact pattern or rule for this sequence.

However, you can continue calculating additional terms by substituting different values of N into the given expressions to see if you can find a consistent pattern or rule. This might help you uncover the underlying relationship in the sequence.

I hope this explanation helps you analyze the sequence and find a solution! If you have any further questions, feel free to ask.