Subjects algebra

Arithmetic Sequence D3Fdc0

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1. The problem appears to be a sequence of numbers: 2,400,000; 2,100,000; 1,800,000; 1,500,000; 1,200,000; 900,000. 2. We want to identify the pattern or rule governing this sequence. 3. To find the pattern, calculate the difference between consecutive terms: $$2,400,000 - 2,100,000 = 300,000$$ $$2,100,000 - 1,800,000 = 300,000$$ $$1,800,000 - 1,500,000 = 300,000$$ $$1,500,000 - 1,200,000 = 300,000$$ $$1,200,000 - 900,000 = 300,000$$ 4. The difference between each term is consistently 300,000, so this is an arithmetic sequence with common difference $d = -300,000$. 5. The first term $a_1$ is 2,400,000. 6. The general formula for the $n$th term of an arithmetic sequence is: $$a_n = a_1 + (n-1)d$$ 7. Substituting the values: $$a_n = 2,400,000 + (n-1)(-300,000)$$ $$a_n = 2,400,000 - 300,000(n-1)$$ 8. This formula can be used to find any term in the sequence. Final answer: The sequence is arithmetic with $a_n = 2,400,000 - 300,000(n-1)$.