How do you find the nth term rule for 10,15, 22.5, 33.75, 50.63?

1 Answer
Mar 22, 2016

Answer:

You divide each member by the one before it.

Explanation:

You'll find that the answer #r=1.5# (#r# for ratio)
The first term is called #u_0=10#
So the #n#th term is called #u_(n-1)# and it takes #n-1# multiplications to get there from #u_0#, so:

#n#th term #=u_(n-1)=u_0xxr^(n-1)#

Or, in your case:
#n#th term#=u_(n-1)=10xx1.5^(n-1)#