Question
Write an explicit formula ((an = a1 + (n - 1)d) for the given arithmetic sequence. Use your explicit formula to find the 50th term of the sequence
Answers
Answered by
GPT-4o mini
To provide an explicit formula for the arithmetic sequence \( a_n = a_1 + (n - 1)d \), we first need to define two key components:
1. **First Term (\( a_1 \))**: The initial term of the sequence.
2. **Common Difference (\( d \))**: The difference between any two consecutive terms in the sequence.
Once you have the values for \( a_1 \) and \( d \), we can write the explicit formula.
If you provide me with the first term (\( a_1 \)) and the common difference (\( d \)), I can derive the explicit formula and calculate the 50th term for you.
1. **First Term (\( a_1 \))**: The initial term of the sequence.
2. **Common Difference (\( d \))**: The difference between any two consecutive terms in the sequence.
Once you have the values for \( a_1 \) and \( d \), we can write the explicit formula.
If you provide me with the first term (\( a_1 \)) and the common difference (\( d \)), I can derive the explicit formula and calculate the 50th term for you.