• 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
MedVision ad

Series question (1 Viewer)

steve001

Member
Joined
Oct 19, 2008
Messages
48
Gender
Male
HSC
2009
hey.....i know this is a easy question but you have to find the number of terms and the sum = 32, a=2 and d=1.5
 

gurmies

Drover
Joined
Mar 20, 2008
Messages
1,209
Location
North Bondi
Gender
Male
HSC
2009
I don't think such a sequence exists:

Sn = n/2 (2a + (n-1)d)

32 = n/2 (4 + (n-1)1.5)

64 = n (2.5 + 1.5n)

1.5n^2 + 2.5n - 64 = 0

3n^2 + 5n - 128 = 0

No integral roots to that equation, which is what we are looking for. N has to be a positive integer, as it denotes a term
 

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

Top