Respuesta :

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

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