Answer:
a) we know that this is convergent.
b) we know that this might not converge.
Step-by-step explanation:
Given the
is convergent
Therefore,
(a)
The power series
has radius of convergence at least as big as 8. So we definitely know it converges for all x satisfying -8<x≤8. In particular for x = -3
∴
is convergent.
(b)
-8 could be right on the edge of the interval of convergence, and so might not converge
Answer:
the annual rate of inflation r is 0.023
Step-by-step explanation:
Given by the expression:

The average price of a gallon of milk increased from $0.36 in 1913 to $3.53 in 2013.
Let 

n = 2013 - 1913 = 100
replacing our values into the given equation; then the annual rate of inflation r is as follows:

r = 0.023
Hence, the annual rate of inflation r is 0.023
To change 97/14 into a mixed number, first figure out how many times 14 can go into 97 without going over. This would be 6 times which would be the whole number part of your mixed number. Then, multiply 6 by 14 to get 84 and subtract it from 97 to get 13 which would be the part over 16. This would result in your answer 6 13/16, would be 97/14 in mixed number form.
I believe the answer would be your first choice!
I hope I am correct and that this helps