<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.
Answer:
x=-2
Step-by-step explanation:
Answer:
6.32
Step-by-step explanation:
:|
Answer:
See explanation below.
Step-by-step explanation:
The first law of thermodynamic states that heat is a form of energy, and as such, is subject to the principle of conservation of energy (Energy is not destroyed or created but remains constant)
For example, when you put an ice cube in water, the ice will melt but the water will get colder, this is because the temperature between the ice cube and the water tends to an equilibrium and the total heat in the system remained the same during this time.