brynnie513 brynnie513
  • 08-04-2020
  • Mathematics
contestada

Find the sum of 14+ 8+2+...+(-274)+(-280)

Respuesta :

Fatblabs
Fatblabs Fatblabs
  • 08-04-2020

Answer:

??

Step-by-step explanation:

What are we supposed to do? Find the ... or find that and the sum too

Answer Link
surjithayer10 surjithayer10
  • 08-04-2020

Answer:

-6650

Step-by-step explanation:

14+8+2+...+(-274)+(-280)

c.d d=8-14=-6

[tex]a_{n}=a_{1}+(n-1)d\\-280=14+(n-1)(-6)\\-280-14=(n-1)(-6)\\-294=-6(n-1)\\n-1=\frac{-294}{-6}=49\\n=49+1=50\\number ~of ~terms~n=50\\S_{n}=\frac{n}{2}(a_{1}+a_{n})\\s_{n}=\frac{50}{2}(14+(-280))\\=25 \times (-266)\\=-6650[/tex]

Answer Link

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good job