Question

What is the sum of the series?

Answer 1

@ganeshie8 can you please help me with this? I would really appreciate it!!

Answer 2

since | -1/2| is less than 1, this series converges
so u can find the infinite sum

Answer 3

infinite sum = \(\dfrac{a}{1-r}\)

Answer 4

\(a\) = first term = \(-4\)
\(r\) = common ratio = \(-\frac{1}{2}\)

plugin

Answer 5

are a and r -4 and -1/2? I'm really confused, I don't get this at all...

Answer 6

oh ok!
-4/1 - (-1/2)
-4/(3/2) = -2 2/3
so is -2 2/3 the sum?

Answer 7

Yep !

Answer 8

Got it! Thank you so much!