Kyleepro Kyleepro

15-06-2022
Mathematics

contestada

Find the sum.
-110 + (-102) + (-94) + ... + 66 + 74

Respuesta :

surjithayer surjithayer

19-06-2022

Answer:

Step-by-step explanation:

a=-110

d=-102-(-110)=-102+110=8

let n be the number of terms.

74=-110+(n-1)×8

74=-110+8n-8

74+118=8n

192=8n

n=192/8=24

[tex]s=\frac{n}{2} [2a+(n-1)d]\\s=\frac{24}{2} [2(-110)+(24-1)\times8]\\=12[-220+184]\\=12(-36)\\=-432[/tex]

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