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#2 2013-01-30 14:29:33
- bobbym
- Administrator
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Re: Geometric sequence
Hi;
That is a geometric series because each term has a common ratio which is
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#3 2013-01-30 22:45:13
- n872yt3r
- Power Member
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Re: Geometric sequence
(2^4=16) (2^7=49) (2^10=100) 1/16+1/49=0.0829081632653061224489795183673...+1/100=0.09290816326530612244897959183673...+1/2=0.59290816326530612244897959183673...
- n872yt3r
Math Is Fun Rocks!
By the power of the exponent, I square and cube you!
#4 2013-01-31 01:20:27
- anonimnystefy
- Real Member
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Re: Geometric sequence
n872yt3r wrote:
(2^4=16) (2^7=49) (2^10=100) 1/16+1/49=0.0829081632653061224489795183673...+1/100=0.09290816326530612244897959183673...+1/2=0.59290816326530612244897959183673...
That is not correct. 2^7 is not 49 and 2^10 is not 100...
The limit operator is just an excuse for doing something you know you can't.
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#5 2013-01-31 01:25:14
- bobbym
- Administrator
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Re: Geometric sequence
Hi n872yt3r;
7^2 = 49 and 10^2 = 100
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#6 2013-01-31 02:51:26
- mttal24
- Member
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Re: Geometric sequence
Well, to identify and prove a geometric progression the following can be used:
If
t2/t1=t3/t2=t4/t3=.....=tn/t(n-1)=r (and 'r' also represents common ratio)
then the sequence is a GP.
Here,
1/2^4 divided by1/2 is equal to 1/2^7 divided by 1/2^4.
Thus, you can show that it is a gp
#7 2013-01-31 03:01:28
- bob bundy
- Moderator
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Re: Geometric sequence
hi 3rdMath
Welcome to the forum.
If you had an algebraic form for the general term, then you could do the job in one go with
As you have just 4 terms and no general term you will have to show that
The value for this constant has already been given in earlier posts.
Bob
You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei