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  Geometric Progression
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A sequence is said to be in Geometric Progression, if the ratio between any two adjacent numbers in the sequence is constant (non zero). This constant is said to be common ratio (c.r.)
 
        e.g. 1, 2, 4, 8 ..........……       c.r. = 2
 
        1, 1/2, 1/4, 1/8, …..………       c.r. =1/2
 
        1/4, –1/2, 1, –2, 4, ………       c.r. = –2
 
In general
 
a, ar, ar2, ar3, ……, a rn–1
 
By close inspection of the above series we can say the n-th term of GP will be given by
 
        tn = arn–1

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