SOLUTION: what is the formula for sequences {0.2,0.22,0.222,0.2222…}

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Question 1054536: what is the formula for sequences {0.2,0.22,0.222,0.2222…}

Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!

The nth term is the sum of the first n terms of a G.P. 
with first term a1 = 0.2 and common ratio r = 0.1:

0.2+0.02+0.002+0.0002+...+0.(n-1 zeros then a 2)

which, using the formula ,

gives  =

 =

 =

 <--- formula for the nth term.

Edwin

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