Answer:
Whatever is raised to the power of 0 is 1
SO the answer is 1
Let

where we assume |r| < 1. Multiplying on both sides by r gives

and subtracting this from
gives

As n → ∞, the exponential term will converge to 0, and the partial sums
will converge to

Now, we're given


We must have |r| < 1 since both sums converge, so


Solving for r by substitution, we have


Recalling the difference of squares identity, we have

We've already confirmed r ≠ 1, so we can simplify this to

It follows that

and so the sum we want is

which doesn't appear to be either of the given answer choices. Are you sure there isn't a typo somewhere?
Answer:
30.9717685346
Step-by-step explanation:
Plant's height after 31 months:82 centimeters
<h3>How to find the height of the plant</h3>
The equation that can be used to find the height of the plant is given as
h = 52 centimeters + 1m
We have that the plant grows at 1 centimeter every month hence we have 1m in the equation.
Then the number of periods is m, Now we are to find the height in this period of time
h = 52 + 1*31
= 51 + 31
= 82
Hence the height after 31 months is given as 82 centimeters.
Read more on height here:
brainly.com/question/73194
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