Let

In order to prove this by induction, we first need to prove the base case, i.e. prove that P(1) is true:

So, the base case is ok. Now, we need to assume
and prove
.
states that

Since we're assuming
, we can substitute the sum of the first n terms with their expression:

Which terminates the proof, since we showed that

as required
I don't understand what you mean but this might be the answer
Answer:
26.2% of smokers,when given this treatment, would refrain from smoking for at least 6 months.
Step-by-step explanation:
In this problem, we have that:
935 smokers received the treatment(nicotine patch).
After 6 months, 245 of them were not smoking.
Assuming it is reasonable to regard this sample as representative of all smokers, estimate the percentage of all smokers who, when given this treatment, would refrain from smoking for at least 6 months.
This percentage is 245/935 = 0.2620.
26% of smokers,when given this treatment, would refrain from smoking for at least 6 months.
Answer:
210
Step-by-step explanation: