Answer:
The first three terms are: 25, 125 and 625
Step-by-step explanation:
Given

Required
The first three terms
The nth term of a geometry progression is:

So, we have:
First term: 





Second term: 





Third term: 





Answer:
The fifth degree Taylor polynomial of g(x) is increasing around x=-1
Step-by-step explanation:
Yes, you can do the derivative of the fifth degree Taylor polynomial, but notice that its derivative evaluated at x =-1 will give zero for all its terms except for the one of first order, so the calculation becomes simple:

and when you do its derivative:
1) the constant term renders zero,
2) the following term (term of order 1, the linear term) renders:
since the derivative of (x+1) is one,
3) all other terms will keep at least one factor (x+1) in their derivative, and this evaluated at x = -1 will render zero
Therefore, the only term that would give you something different from zero once evaluated at x = -1 is the derivative of that linear term. and that only non-zero term is:
as per the information given. Therefore, the function has derivative larger than zero, then it is increasing in the vicinity of x = -1
The answer is 11.
Step-by-step explanation:
19-25\19-15
44/4= 11
<span>Let the number be x.
The quotient of negative 1 and the product of a number and 21 is -1/21x</span>
Answer:
Cuzco, Peru. Don't really have a description for it.
I guess they started their empire through the military strength of their emperors.
Step-by-step explanation: