• Best of luck to the class of 2024 for their HSC exams. You got this!
    Let us know your thoughts on the HSC exams here
  • YOU can help the next generation of students in the community!
    Share your trial papers and notes on our Notes & Resources page

Limiting Sums (1 Viewer)

sasquatch

Member
Joined
Aug 15, 2005
Messages
384
Gender
Male
HSC
2006
Find the limiting sum of the series: 20 + 15 + 12 + ...

Considering the series, it is not geometric so how is it possible to find the limiting sum?

By using the common ratio (which this question does not have) between term 2 and term 1, r = 3/4, you can calculate the limiting sum to be 80 (which is what the answer has). But the ratio between terms 4 and terms 3, is 4/5. So yeah the question is wrong then right?
 

sasquatch

Member
Joined
Aug 15, 2005
Messages
384
Gender
Male
HSC
2006
I say wrong, because its not possible to find that series' limiting sum using the formula S = a / (1-r).
 

Riviet

.
Joined
Oct 11, 2005
Messages
5,593
Gender
Undisclosed
HSC
N/A
sasquatch said:
I say wrong, because its not possible to find that series' limiting sum using the formula S = a / (1-r).
That's correct, r needs to be the same between any two consecutive terms in the series.
 

Users Who Are Viewing This Thread (Users: 0, Guests: 1)

Top