Comments on: What is the rule to find the nth term in a multiplication sequence?

By: Student S

Student S — Sat, 17 Oct 2009 01:42:59 +0000

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 :

Ansis — Sat, 17 Oct 2009 01:04:59 +0000

Yes, it does. How could it possibly get simpler than that?
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Sat, 17 Oct 2009 00:41:59 +0000

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 :