perplexus.info :: Sequences : Geometric and Three Power Travail

Geometric and Three Power Travail (Posted on 2016-02-22)

S(0), S(1), S(2) , ..... are terms of a geometric sequence in strictly ascending orders of magnitude.
All the terms of this sequence are nonnegative integer powers of 3, like:
3⁰, 3¹, .... etc

Given that:
Σ_{n=0 to 7} (log₃S(n)) = 308, and:

56 ≤ (log₃(Σ_{n=0 to 7} S(n)))≤ 57

Find log₃S(14)

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

log₃S(14) = 91
For an explanation, refer to the respective solutions submitted by Jer and Charlie here and here.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
computer assisted solution	Charlie	2016-02-22 12:17:23
solution	Jer	2016-02-22 11:03:46

Please log in:

Login:
Password:
Remember me:

Sign up! \| Forgot password

Search:

Search body:

Forums (1)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (6)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info