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Write the first five terms of the sequen...

Write the first five terms of the sequence and obtain the corresponding series : `a_1=3,a_n=3a_(n-1)+2`for all `n > 1`

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`a_(1)=3,a_(n)=3cdota_(n-1)+2,ngt1`
`"At n=2, "a_(2)=3cdota_(1)+2=3cdot3+2=11,`
`"At n=3, "a_(3)=3cdota_(2)+2=3cdot11+2=35,`
`"At n=4, "a_(4)=3cdota_(3)+2=3cdot35+2=107,`
`"At n=5, "a_(5)=3cdota_(4)+2=3cdot107+2=323,`
Therefore, first 5 terms of given sequence are 3, 11, 35, 107, 323.
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