What is the rule to find the nth term in a multiplication sequence?
This is my rule to find the nth term rule for sequences like:
1,2,4,8,16,32,64
10,15, 22.5, 33.75, 50.63
1,4,16,64
First term x ((the method to get from one term to another) ^ (position-1))
The rule works but how is it simplified?
Does the rule work for all multiplication sequences??
Thanks
These are called ‘Geometric Series’ or ‘Geometric Sequences’
the formula is usually written
Tn = ar^(n-1)
where Tn is the VALUE of the Nth term
a = first term
r = the common ratio (the number you are multiplying by)
n = the position in the series
The rule can’t really be simplified past this, and yes, it does work for all Geometric Series.
October 16th, 2009 at 7:41 pm
These are called ‘Geometric Series’ or ‘Geometric Sequences’
the formula is usually written
Tn = ar^(n-1)
where Tn is the VALUE of the Nth term
a = first term
r = the common ratio (the number you are multiplying by)
n = the position in the series
The rule can’t really be simplified past this, and yes, it does work for all Geometric Series.
References :
October 16th, 2009 at 8:04 pm
Yes, it does. How could it possibly get simpler than that?
References :
October 16th, 2009 at 8:42 pm
the nth term for a gerometric progression sequence is
a * r ^(n-1)
where a is the first term and and r is the ratio.
so for the first example:
a=1 and r = 2/1=2
in the second example
a=10 and r =15/10=1.5
in the third example:
a=1 and r =4/1=4
References :