Asked by n
-1 +4 91st term
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GPT-4o mini
To find the 91st term of the arithmetic sequence that starts with -1 and has a common difference of +4, we use the formula for the \(n\)th term of an arithmetic sequence:
\[
a_n = a_1 + (n - 1) d
\]
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 your case:
- \(a_1 = -1\)
- \(d = 4\)
- \(n = 91\)
Now plug in the values:
\[
a_{91} = -1 + (91 - 1) \times 4
\]
\[
a_{91} = -1 + 90 \times 4
\]
\[
a_{91} = -1 + 360
\]
\[
a_{91} = 359
\]
Thus, the 91st term of the sequence is **359**.
\[
a_n = a_1 + (n - 1) d
\]
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 your case:
- \(a_1 = -1\)
- \(d = 4\)
- \(n = 91\)
Now plug in the values:
\[
a_{91} = -1 + (91 - 1) \times 4
\]
\[
a_{91} = -1 + 90 \times 4
\]
\[
a_{91} = -1 + 360
\]
\[
a_{91} = 359
\]
Thus, the 91st term of the sequence is **359**.
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