Answer:
The series must be decreasing, and the limit as the n-th term goes to infinity should be 0.
Answer:
(12/8) and (3/4) = 2 1/4 or 2.25 decimal thus: A:
Step-by-step explanation:
<u>To find the constant of proportionality:</u>
⇒ must define constant of proportionality
⇒ <em>Constant of Proportionality: ratio of two proportional values at a </em>
constant value
⇒ (in this case) two proportional values are x and y
<u>The ratio between x and y is equal to</u>

<u>Answer:</u> <u>55</u> or <u>Choice 1</u>
<u></u>
Hope that helps!
<h2>
Answer with explanation:</h2>
We are asked to prove by the method of mathematical induction that:

where n is a positive integer.
then we have:

Hence, the result is true for n=1.
- Let us assume that the result is true for n=k
i.e.

- Now, we have to prove the result for n=k+1
i.e.
<u>To prove:</u> 
Let us take n=k+1
Hence, we have:

( Since, the result was true for n=k )
Hence, we have:

Also, we know that:

(
Since, for n=k+1 being a positive integer we have:
)
Hence, we have finally,

Hence, the result holds true for n=k+1
Hence, we may infer that the result is true for all n belonging to positive integer.
i.e.
where n is a positive integer.