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

asked Mar 25, 2021 112k views

1 vote

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

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Answer:

Explanation:

4+9+14+...+494

d=9-4=5

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

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