tyleeoswald tyleeoswald
  • 29-09-2020
  • Mathematics
contestada

Find 1+2+3+4+ ... +40, the sum of the first 40 natural numbers.
The sum is

Respuesta :

00DEADPOOL00
00DEADPOOL00 00DEADPOOL00
  • 29-09-2020

Answer : 840

1 + 41 = 42

2 + 40 = 42

___________

20 pairs

20 × 42 = 840

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unicorn3125
unicorn3125 unicorn3125
  • 29-09-2020

Answer:

              [tex]\bold{S_{40}=820}[/tex]

Step-by-step explanation:

[tex]1+2+3+4+ ... +40=S_{40}\\\\a_1=1\\a_{40}=40\\n=40\\\\S_n=\dfrac{a_1+a_n}2\cdot n\\\\S_{40}=\dfrac{1+40}2\cdot40=41\cdot20=820[/tex]

Answer Link

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