2016 adv paper q15 (2 Viewers)

waltssillyhat

Member
Joined
Mar 1, 2025
Messages
31
Gender
Female
HSC
2026
Can someone please explain how the worked solution got (7/8)^n-1 for part (ii)? If we are finding the geometric sum, wouldn't r = 7/8?
Screenshot 2025-07-19 at 2.40.44 pm.pngScreenshot 2025-07-19 at 2.42.11 pm.png
 

yourlocaliga

Active Member
Joined
Aug 31, 2023
Messages
122
Gender
Female
HSC
N/A
im pre sure they do use r=7/8, with n-1 terms, as you have all the the sum of 1/8*(7/8) and whatnot n-2 times, so thats n-2 terms plus the initial 1/8 which makes n-1 terms

they just use the other variation of the geometric sum on the formula sheet where everythings the other way around
 

C2H6O

Well-Known Member
Joined
Oct 18, 2024
Messages
466
Gender
Male
HSC
2025
Can someone please explain how the worked solution got (7/8)^n-1 for part (ii)? If we are finding the geometric sum, wouldn't r = 7/8?
View attachment 48294View attachment 48295
yea they did put r=7/8 right? this is then raised to the number of terms which is if you look at it as starting from (7/8)^0 all the way to (7/8)^(n-2) inclusive, thats n-1 terms. then theyve multiplied the 1/8 into the fraction which makes the denominator -1, which is distributed into the brackets in the numerator
 

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

  • Top