Question

Find the sum of the first 50 terms of arithmetic sequence:-10,-6,-2,2

Answer 1

Given

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

Find

sum of the first 50 terms of arithmetic sequence

Step-by-step explanation

here ,

first term , a = -10

d = -6 - (-10) = 4

n = 50

sum of first 50 terms is given by

`\begin{gathered} (n)/(2)[2a+(n-1)d] \\ (50)/(2)[2*(-10)+(50-1)4] \\ 25[-20+196] \\ 25*176 \\ 4,400 \end{gathered}`

Final Answer

sum of first 50 terms is 4400.