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schepotkina [342]
3 years ago
6

4+9+14+19+...+494 What is the arithmetic sequence answer

Mathematics
1 answer:
Volgvan3 years ago
4 0

Answer:

Step-by-step explanation:

4+9+14+...+494

d=9-4=5

\[a_{n}=a_{1}+(n-1)d\]494=4+(n-1)5\\490=(n-1)5\\n-1=98\\n=98+1=99\\S_{n}=\frac{99}{2} (4+494)\\=99*\frac{498}{2} \\=99*249\\=24,651

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