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-10+1 67th term
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GPT-4o mini
To find the 67th term of the arithmetic sequence starting from -10 with a common difference of 1, we can use the formula for the \( n \)-th term of an arithmetic sequence:
\[
a_n = a_1 + (n - 1) \cdot d
\]
where:
- \( a_n \) is the \( n \)-th term,
- \( a_1 \) is the first term,
- \( d \) is the common difference,
- \( n \) is the term number.
In this case:
- \( a_1 = -10 \)
- \( d = 1 \)
- \( n = 67 \)
Now substituting the values into the formula:
\[
a_{67} = -10 + (67 - 1) \cdot 1
\]
\[
a_{67} = -10 + 66
\]
\[
a_{67} = 56
\]
Therefore, the 67th term of the sequence is **56**.
\[
a_n = a_1 + (n - 1) \cdot d
\]
where:
- \( a_n \) is the \( n \)-th term,
- \( a_1 \) is the first term,
- \( d \) is the common difference,
- \( n \) is the term number.
In this case:
- \( a_1 = -10 \)
- \( d = 1 \)
- \( n = 67 \)
Now substituting the values into the formula:
\[
a_{67} = -10 + (67 - 1) \cdot 1
\]
\[
a_{67} = -10 + 66
\]
\[
a_{67} = 56
\]
Therefore, the 67th term of the sequence is **56**.
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