Thursday, February 20, 2014

`a_1 = 0.375, a_(n + 1) = a_n + 0.25` Write the first 5 terms of the sequence defined recursively.

`a_1=0.375`


`a_(n+1)=a_n+0.25`


`a_(1+1)=a_2=a_1+0.25=0.375+0.25=.625`


`a_(2+1)=a_3=a_2+0.25=6.25+0.25=.875`


`a_(3+1)=a_4=a_3+0.25=.875+0.25=1.125`


`a_4+1=a_5=a_4+0.25=1.125+0.25=1.375`


The first 5 terms of the sequence are: 0.375, 0.625, 0.875, 1.125, 1.375.

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