Consider the infinite geometric series. In this image, the lower limit of the summation notation is "n=1." Show ALL work.

a. Write the first four terms of the series
b. Does the series diverge or converge?
c. If the series has a sum, find the sum.

Question

Consider the infinite geometric series. In this image, the lower limit of the summation notation is "n=1." Show ALL work.

a. Write the first four terms of the series
b. Does the series diverge or converge?
c. If the series has a sum, find the sum.

love_to_love_you · Answer

attachment

love_to_love_you · Answer

@iGreen

turingtest · Answer

do you not know how to write the first four terms?

love_to_love_you · Answer

I think so yeah

love_to_love_you · Answer

-4/1,  -4/3, -4/9,  -4/27?

love_to_love_you · Answer

I don't remember how to find out whether the series converges or diverges

love_to_love_you · Answer

a. -4/1,  -4/3, -4/9,  -4/27
b. s= a 1/1-r
This is the formula that is usually present for the sum of a geometric series that converges. Therefore, the series converges.
c. S= -4 1/1-1/3
-4* 1/1-1/3
-4* 1/2/3
-4*3/2= -6

is this right @TuringTest

turingtest · Answer

looks right to me :)
sorry i was afk there for a sec