Sequences and Series questions (1 Viewer)

kpad5991

Member
Joined
Dec 29, 2016
Messages
238
Gender
Male
HSC
2018
1. Find the sums of these AP's who's terms are logarithms

a) log (b) 36 + log (b) 18 + log (b) 9 + ...log (b) 9/8


b) log (x) 27/8 + log (x) 9/4 + log (x) 3/2 + ....(10 terms)
 

fan96

617 pages
Joined
May 25, 2017
Messages
543
Location
NSW
Gender
Male
HSC
2018
Uni Grad
2024
For a), note that the term inside the logarithm is halved each time.

So, rewrite it as



And use the law .

b) can be solved similarly.
 

HeroWise

Active Member
Joined
Dec 8, 2017
Messages
353
Gender
Male
HSC
2020
Thats actually a good question (at least for me)

It took me long to realise the ratio and AP being together, fan96 gets the credit
 
Last edited:

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

Top