Limiting sum of a geometric series (1 Viewer)

[Loz_metalhead]

The height of a tree was 10 metres and it increased by 2m during the next year. If in each succeeding year the growth is 2/3 of that in the previous year, find the limiting height.

The answer is 16m.

I cant work it out.

 

[pLuvia]

S_∞ = 2 / (1-2/3) = 6

Then the height of the tree is 10m hence 6+10 = 16 m

 

[Loz_metalhead]

Thanks so much. I had 12 as a.

:wave:

I forgot to add this question in aswel..Lol. Sorry

(infitnity)
Z(7/8)^n
n=1

The answer is 7.

 

[pLuvia]

(infinity)
Z(7/8)^n
n=1

a=7/8
r=7/8

S_∞ = (7/8)/(1-7/8) = 7