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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=3a_(n-1)+2`
Putting `n=2`
` a_2=3a_(2-1)+2 `
`a_2=3a_1+2`
`a_2=3 times 3+2`
`a_2=9+2`
`a_2=11`
Putting `n=3`
`a_3=3a_(3-1)+2`
`a_3=3a_2+2`
`a_3=3 times 11+2`
`a_3=33+2`
`a_3=35`
Putting `n=4`
`a_4=3a_(4-1)+2`
`a_4=3a_3+2`
`a_4=3 times 35 +2`
`a_4=105+2`
`a_4=107`
Putting `n=5`
`a_5=3a_(5-1)+2`
`a_5=3a_4+2`
`a_5=3 times 107 +2`
`a_5=321+2`
`a_5=323`
Hence first five terms are `3,11,35,107,323`
Corresponding series are `3+11+35+107+ 323`
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