Question 25581: i need some help please any one.using the geometric series of numbers 1,1/2,1/4,1/8 what is the ratio between 2 terms,and what would the 10th term be.
if on a checker board pennies were placed on all squareseg.1 on first square 2on 2nd. 4 on 3rd.how much would have to be placed on the 32nd.square.thanks in advance for your help.
Answer by longjonsilver(2297)   (Show Source):
You can put this solution on YOUR website! to get the ratio between terms, you can use neighbouring terms.
First term = a
Second term = ar
ar/a is r, the common ratio
So, first term is 1 and second term is 1/2, so r is (1/2)/1 --> r=1/2
10th term is  --> 1*(1/2)^9 --> 1/512
Sequence 1, 2, 4, 8, 16, ... are powers of 2:  ,  ,  etc
So, on 32nd square we would have  coins.
jon.
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