we are given
sequence as
8,8,8,8,8, ….
Arithmetic sequence:
firstly , we will find common differences
[tex] d_1=8-8=0 [/tex]
[tex] d_2=8-8=0 [/tex]
[tex] d_3=8-8=0 [/tex]
we can see that all common differences are same
so, this is arithematic sequence
Geometric sequence:
firstly , we will find common ratio
[tex] r_1=\frac{8}{8}=1 [/tex]
[tex] r_2=\frac{8}{8}=1 [/tex]
[tex] r_3=\frac{8}{8}=1 [/tex]
we can see that all common ratios are same
so, this is geometric sequence
so, the true statement can be written as
The sequence 8,8,8,8,8, ….is arithmetic and geometric........Answer