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State the fifth and seventh terms of the sequence -2,-3,-4[1%2]Asked by Emmanuel
State the fifth and seventh terms of the sequence -2,-3,-4[1\2]
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GPT-4o mini
It seems like there is a misunderstanding in the sequence mentioned. The terms given are -2, -3, and -4, with a notation "[1\2]" that is unclear.
If the sequence indicates that it is an arithmetic sequence beginning with -2 and following a pattern, we first need to identify the common difference. Based on the first two terms:
- Second term: -3
- First term: -2
The common difference (d) can be calculated as:
\[
d = -3 - (-2) = -1
\]
Identifying the terms:
1. First term (a₁) = -2
2. Second term (a₂) = -3
3. Third term (a₃) = -4 (given)
4. Fourth term (a₄) = -4 - 1 = -5
5. Fifth term (a₅) = -5 - 1 = -6
6. Sixth term (a₆) = -6 - 1 = -7
7. Seventh term (a₇) = -7 - 1 = -8
Hence, the fifth term is **-6** and the seventh term is **-8**.
If the sequence indicates that it is an arithmetic sequence beginning with -2 and following a pattern, we first need to identify the common difference. Based on the first two terms:
- Second term: -3
- First term: -2
The common difference (d) can be calculated as:
\[
d = -3 - (-2) = -1
\]
Identifying the terms:
1. First term (a₁) = -2
2. Second term (a₂) = -3
3. Third term (a₃) = -4 (given)
4. Fourth term (a₄) = -4 - 1 = -5
5. Fifth term (a₅) = -5 - 1 = -6
6. Sixth term (a₆) = -6 - 1 = -7
7. Seventh term (a₇) = -7 - 1 = -8
Hence, the fifth term is **-6** and the seventh term is **-8**.
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