It seems like there might be some confusion in your question as the formulas provided are not consistent. However, I'll try to guide you through the process of finding a general rule for a quadratic sequence.

1. Identify the sequence: From your question, it's not clear what the sequence is. However, in a quadratic sequence, the second difference (the difference between consecutive differences) is constant.

2. Find the value of 'a': In the formula nth term = an^2 + bn + c, 'a' is half of the second difference.

3. Find the value of 'b': Subtract the sequence from the values generated by an^2. This will give you a linear sequence which can be defined by bn + c. To find 'b', find the difference in this new sequence.

4. Find the value of 'c': This is the difference between the original sequence and the sequence generated by an^2 + bn.

Without specific values, I can't provide a more detailed answer. If you could provide the sequence or clarify the formulas, I'd be happy to help further.

Question

It seems like there might be some confusion in your question as the formulas provided are not consistent. However, I'll try to guide you through the process of finding a general rule for a quadratic sequence.

1. Identify the sequence: From your question, it's not clear what the sequence is. However, in a quadratic sequence, the second difference (the difference between consecutive differences) is constant.

2. Find the value of 'a': In the formula nth term = an^2 + bn + c, 'a' is half of the second difference.

3. Find the value of 'b': Subtract the sequence from the values generated by an^2. This will give you a linear sequence which can be defined by bn + c. To find 'b', find the difference in this new sequence.

4. Find the value of 'c': This is the difference between the original sequence and the sequence generated by an^2 + bn.

Without specific values, I can't provide a more detailed answer. If you could provide the sequence or clarify the formulas, I'd be happy to help further.

Knowee AI · Accepted Answer

It seems like there might be some confusion in your question as the formulas provided are not consistent. However, I'll try to guide you through the process of finding a general rule for a quadratic sequence.

1. Identify the sequence: From your question, it's not clear what the sequence is. However, in a quadratic sequence, the second difference (the difference between consecutive differences) is constant.

2. Find the value of 'a': In the formula nth term = an^2 + bn + c, 'a' is half of the second difference.

3. Find the value of 'b': Subtract the sequence from the values generated by an^2. This will give you a linear sequence which can be defined by bn + c. To find 'b', find the difference in this new sequence.

4. Find the value of 'c': This is the difference between the original sequence and the sequence generated by an^2 + bn.

Without specific values, I can't provide a more detailed answer. If you could provide the sequence or clarify the formulas, I'd be happy to help further.

To calculate the general rule for b in terms of n, we can use the quadratic pattern formula which is nth term = an^2 + bn + c1n, y = 2x-12n, y = 4x-43n, y = 6x - 9 3n, y = 8x - 16

Question

Solution

Similar Questions

Upgrade your grade with Knowee