Given,
The expression is:
[tex]a_1=1,a_n=a_{n-1}-5[/tex]Required:
The first six term of the series.
The first six term of the series is,
[tex]\begin{gathered} a_1=1 \\ a_2=a_1-5=-4 \\ a_3=a_2-5=-9 \\ a_4=a_3-5=-14 \\ a_5=a_4-5=-19 \\ a_6=a_5-5=-24 \end{gathered}[/tex]Hence, the first six term of the series is obtained.