To solve this problem, we can use the formula of an arithmetic sequence. The nth term of an arithmetic sequence can be found using the formula:

A_n = A + (n - 1) * C

where A_n is the nth term, A is the first term, n is the term number, and C is the common difference.

We can rearrange this formula to find the term number n for a given term B:

n = (B - A) / C + 1

If n is an integer, then B is a term in the sequence. If n is not an integer, then B is not a term in the sequence.

Here is a step-by-step solution:

1. Calculate n using the formula n = (B - A) / C + 1.
2. Check if n is an integer. If n is an integer, return 1. If n is not an integer, return 0.

Note: This solution assumes that the common difference C is not zero. If C is zero, then the sequence is constant and only contains the term A. In this case, return 1 if B equals A, and return 0 otherwise.

Here is a Python code snippet that implements this solution:

```python
def is_in_sequence(A, B, C):
if C == 0:
return 1 if B == A else 0
else:
n = (B - A) / C + 1
return 1 if n.is_integer() else 0
```

This function takes three integers A, B, and C as input, and returns 1 if B is a term in the arithmetic sequence defined by A and C, and 0 otherwise.

Question

To solve this problem, we can use the formula of an arithmetic sequence. The nth term of an arithmetic sequence can be found using the formula:

A_n = A + (n - 1) * C

where A_n is the nth term, A is the first term, n is the term number, and C is the common difference.

We can rearrange this formula to find the term number n for a given term B:

n = (B - A) / C + 1

If n is an integer, then B is a term in the sequence. If n is not an integer, then B is not a term in the sequence.

Here is a step-by-step solution:

1. Calculate n using the formula n = (B - A) / C + 1.
2. Check if n is an integer. If n is an integer, return 1. If n is not an integer, return 0.

Note: This solution assumes that the common difference C is not zero. If C is zero, then the sequence is constant and only contains the term A. In this case, return 1 if B equals A, and return 0 otherwise.

Here is a Python code snippet that implements this solution:

```python
def is_in_sequence(A, B, C):
    if C == 0:
        return 1 if B == A else 0
    else:
        n = (B - A) / C + 1
        return 1 if n.is_integer() else 0
```

This function takes three integers A, B, and C as input, and returns 1 if B is a term in the arithmetic sequence defined by A and C, and 0 otherwise.

Knowee AI · Accepted Answer