Type the correct answer in each box. Use sigma notation to represent the following series for the first 10 terms. 3 + (-6) + 12
+ (-24) + ⋯
1 answer:
Answer:
Kindly check attached picture
Step-by-step explanation:
Given the following :
First term (a) = 3
Second term = - 6
third term = 12
Fourth term = - 24
We can obtain the common ratio of the series using the relation :
(2nd term/ 1st term) = (3rd term/2nd term) = (4th term/ 3rd term) =....
(-6/3) = (12/-6) = (-24/12)
-2 = - 2 = - 2
Further explanation can be found in attached picture
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Answer:
R1= 10.04
R2=10
Step-by-step explanation:
The differential equation is given by:
The minimum radius of convergence is given by the distance from the point x=a, to the nearest singularity points of the differential equation.
The singularity points are the roots of the polynomial that multiplies the second derivative of y. Thus, you have:
the roots are in the complex plane. The radius of convergence is the distance between the points z1=0+0i, z2=1+0i (x=0 and x=1, respectively), in the complex plane, that is: