kls1blue kls1blue
  • 27-01-2020
  • Mathematics
contestada

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

Respuesta :

surjithayer10otahza surjithayer10otahza
  • 29-01-2020

Answer:

Step-by-step explanation:

4+9+14+...+494

d=9-4=5

\[a_{n}=a_{1}+(n-1)d\][tex]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[/tex]

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