Question

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

Answer 1

??

Explanation:

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

Answer 2

-6650

Explanation:

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

c.d d=8-14=-6

`a_(n)=a_(1)+(n-1)d\\-280=14+(n-1)(-6)\\-280-14=(n-1)(-6)\\-294=-6(n-1)\\n-1=(-294)/(-6)=49\\n=49+1=50\\number ~of ~terms~n=50\\S_(n)=(n)/(2)(a_(1)+a_(n))\\s_(n)=(50)/(2)(14+(-280))\\=25 * (-266)\\=-6650`