<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.
I don’t really understand what you have said. But I need help on my homework.
Answer:
The 4 in the hundreds place has a value 10 times as great as the 4 in the tens place.
Step-by-step explanation:
440 = 400 + 40 + 0
the hundreds place is worth 400 here
it is worth 10x the tens place (40 here)
Answer:
85 miles per hour
Step-by-step explanation:
Answer:
It is 100. You round the 6 to the 9 which makes the 9 round the 99 which makes it 100.