Respuesta :

Given

Sequence = -10 , -6 , -2 , 2 ,...

Find

sum of the first 50 terms of arithmetic sequence

Explanation

here ,

first term , a = -10

d = -6 - (-10) = 4

n = 50

sum of first 50 terms is given by

[tex]\begin{gathered} \frac{n}{2}[2a+(n-1)d] \\ \frac{50}{2}[2\times(-10)+(50-1)4] \\ 25[-20+196] \\ 25\times176 \\ 4,400 \end{gathered}[/tex]

Final Answer

sum of first 50 terms is 4400.