Question
What is the 50th term of ((an = a1 + (n - 1)d)
Answers
GPT-4o mini
The formula you've provided is for the \( n \)-th term of an arithmetic sequence (also called an arithmetic progression), where:
- \( a_n \) is the \( n \)-th term,
- \( a_1 \) is the first term,
- \( d \) is the common difference between consecutive terms,
- \( n \) is the term number.
To find the 50th term (\( a_{50} \)), you would use the formula:
\[
a_{50} = a_1 + (50 - 1)d
\]
\[
a_{50} = a_1 + 49d
\]
To calculate the 50th term, you'll need the values of \( a_1 \) and \( d \). Once you have those, you can plug them into the equation above to get the result. If you provide the specific values for \( a_1 \) and \( d \), I can help you compute \( a_{50} \).
- \( a_n \) is the \( n \)-th term,
- \( a_1 \) is the first term,
- \( d \) is the common difference between consecutive terms,
- \( n \) is the term number.
To find the 50th term (\( a_{50} \)), you would use the formula:
\[
a_{50} = a_1 + (50 - 1)d
\]
\[
a_{50} = a_1 + 49d
\]
To calculate the 50th term, you'll need the values of \( a_1 \) and \( d \). Once you have those, you can plug them into the equation above to get the result. If you provide the specific values for \( a_1 \) and \( d \), I can help you compute \( a_{50} \).