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Write an expression to describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for...Question
Write an expression to describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for the first term. 42, 43, 44, 45, ... an =
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GPT-4o mini
The given sequence is an arithmetic sequence where each term increases by 1.
To express the nth term of the sequence, we can start with the first term, which is 42. Since each subsequent term increases by 1, the nth term can be expressed as:
\[ a_n = 42 + (n - 1) \cdot 1 \]
Simplifying this expression gives us:
\[ a_n = 42 + n - 1 \]
\[ a_n = n + 41 \]
So, the expression for the nth term is:
\[ a_n = n + 41 \]
To express the nth term of the sequence, we can start with the first term, which is 42. Since each subsequent term increases by 1, the nth term can be expressed as:
\[ a_n = 42 + (n - 1) \cdot 1 \]
Simplifying this expression gives us:
\[ a_n = 42 + n - 1 \]
\[ a_n = n + 41 \]
So, the expression for the nth term is:
\[ a_n = n + 41 \]
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