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I would like my answer to this one checked as well. Would it be considered geometric sequence even if the common ratio is slightly different for each one? They are each a few decimals apart.



The instructions are the same as in my previous question:


Determine if the sequence is arithmetic , geometric, or neither.

I would like my answer to this one checked as well Would it be considered geometric sequence even if the common ratio is slightly different for each one They ar class=

Respuesta :

Answer:

Neither.

Step-by-step explanation:

10, -9, 8, -7, 6. -5 4.

-9/10 = -0.9

8/-9 =  -0.89

-7/8 = -0.875

The ratios are close but different so it is not geometric.

Neither is it arithmetic because the differences in the terms are not common.

Answer:

Neither arithmetic nor geometric

Step-by-step explanation:

Why not Geometric?

Find common ratio

[tex]\\ \sf\longmapsto \dfrac{-9}{10}=-0.9[/tex]

[tex]\\ \sf\longmapsto \dfrac{8}{-9}=-0.89[/tex]

  • If you round up 2nd one then it also becomes -0.9.

But the ratios are not same so it's not geometric.

Verified.

Why not Arithmetic?

Find common difference

[tex]\\ \sf\longmapsto -9-10=-19[/tex]

[tex]\\ \sf\longmapsto 8-(-9)=8+9=17[/tex]

  • .Here common differences are not same .
  • So it's not an arithmetic progression.

Verified.