crazydoodle crazydoodle
  • 24-12-2020
  • Mathematics
contestada

Determine S44 of the arithmetic series 1 + 4 + 7 + 10 + ...

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 25-12-2020

9514 1404 393

Answer:

  2882

Step-by-step explanation:

The sum of an arithmetic series is given by ...

  [tex]S_n=\dfrac{n(2a_1+d(n-1))}{2}[/tex]

For a1 = 1, d = 3, n = 44, we can fill in the values and do the arithmetic:

  [tex]S_{44}=\dfrac{44(2(1)+3(44-1)}{2}=22(2+3\cdot43)\\\\\boxed{S_{44}=2882}[/tex]

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