Write the first five terms of the following sequence amd obtain the corresponding series.
`a_(1)=a_(2)=2,a_(n)=a_(n-1)-1,ngt2`

Answer

2,2,1, 0, -1

Explanation

`a_(1)=a_(2)=2,a_(n)=a_(n-1)-1,ngt2`
`rArra_(3)=a_(2)-1=2-1=1`
`a_(4)=a_(3)-1=1-1=0`
`a_(5)=a_(4)-1=0-1=-1`
Hence, the first five terms of the sequence are 2,2,1,0 and -1,
The corresponding series is 2+2+1+0+(-1)+..