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Arithmetic and geometric sequences plato/edumentuM

Arithmetic and geometric sequences plato/edumentuM-example-1
User PaNji
by
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1 Answer

23 votes
23 votes

Answer:

A

Explanation:

every term of the sequence is created by multiplying the previous term by -2.4

to get the ratio (or multiplication factor) of the sequence :

4 × r = -9.6

r = -9.6/4 = -2.4

and as you can easily check, the following y values use the same factor.

so, as multiplication is used, it is a geometric sequence.

if addition were used, it would be an arithmetic sequence.

but the differences between the y values are clearly not constant (as it would be, if we added a fixed constant to every term to create the next).

so, B and D are automatically wrong.

and C is wrong, because the given ratio or multiplication factor cannot be right :

4 × 0.4 = 1.6 and never -9.6

User Eucalculia
by
2.8k points
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