-25 = -4r + 5 please help
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Answer:
You gave the explicit form.
Step-by-step explanation:
You gave the explicit form.
The recursive form is giving you a term in terms of previous terms of the sequence.
So the recursive form of a geometric sequence is and they also give a term of the sequence; like first term is such and such number. All this says is to get a term in the sequence you just multiply previous term by the common ratio.
r is the common ratio and can found by choosing a term and dividing by the term that is right before it.
So here r=-3 since all of these say that it does:
-54/18
18/-6
-6/2
If these quotients didn't match, then it wouldn't be geometric.
Anyways the recursive form for this geometric sequence is
ANSWER
4 ft
EXPLANATION
The velocity equation of the oscillating spring is given by the function.
To find the displacement function, we need to to Integrate the velocity function.
At time t=0, there was no displacement.
This implies that,
The displacement function then becomes,
To find the displacement over the first π seconds, we put
into the equation for the displacement to get,