Subjects algebra

Nth Term Sequence 6Ef326

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1. **State the problem:** Find the nth term of the sequence 0, -5, -10, -15. 2. **Identify the pattern:** The sequence decreases by 5 each time. 3. **General formula for nth term of an arithmetic sequence:** $$a_n = a_1 + (n-1)d$$ where $a_1$ is the first term and $d$ is the common difference. 4. **Apply values:** Here, $a_1 = 0$ and $d = -5$. 5. Substitute into the formula: $$a_n = 0 + (n-1)(-5)$$ 6. Simplify: $$a_n = -5(n-1)$$ 7. Distribute: $$a_n = -5n + 5$$ 8. Rewrite: $$a_n = 5 - 5n$$ 9. **Answer:** The nth term is $$5 - 5n$$. 10. **Check options:** The correct nth term formula is $5 - 5n$. 11. **Regarding the statement:** "A square is a special rectangle" is **True** because a square has all properties of a rectangle plus equal sides. Final answers: - nth term: $$5 - 5n$$ - Statement: True