Respuesta :

Step-by-step explanation:

For the 1st picture,

The 2nd option is the answer.

Let say we have

[tex] a_{3}[/tex]

Replace it into the recursive formula.

[tex] a_{3} = a_{3 - 2} + (a) _{3 - 1}[/tex]

We are given a,1 and a,2 so the 3rd terms has to be

[tex]2[/tex]

So the second option is the answer.

For the second picture, a geometric sequence is a group of terms that has the same ratio between each consecutively.

Infinite means going on forever

The fourth option is the answer.

Answer:

1,1,2,3,5

part #2 none are exactly correct... the terms go on forever, so 1 &2 are out...

the "difference" is definitely not the same, so three is out..

4 is the closest, but the ratio is not the same, there is a trend in the ratio..

this is the Fibonacci sequence, and the ratio trends toward the "golden ratio" ( φ -phi) but never is exactly φ because φ is irrational

Step-by-step explanation:

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