**Answer:**

**A. FALSE**

**B. TRUE**

C. **FALSE**

**D. NOT POSSIBLE TO DETERMINE**

**Step-by-step explanation:**

**(A) FALSE. **since the power series ∑ has radius of convergence |-4|=4 ans 7> 4 which is beyond its radius of convergence. thus by the theorem of power series, the series diverges at 10.

**(B)TRUE. **since the radius of convergence of the power series ∑ must be at least |-4| = 4 and 3 lies within this radius, thus it converges at x=3

**(C)FALSE **the series does not diverge at x=1, since 1 is within its radius of convergence |-4| = 4

**(D)NOT POSSIBLE TO DETERMINE**

At x=6, it is beyond its radius of convergence but has not attain its divergence point. thus it is not possible to determine.

**Answer:**

-2m-1

**Step-by-step explanation:**

**Answer:**

r = 7

**Step-by-step explanation:**

60 = -24 + 12r

<u>+24 +24</u>

84 = 12r

84 ÷ 12 = r

7 = r

Check:

60 = -24 + 12r

-24 + 12(7)

-24 + 84 = 60

Your answer is n=2. thank me if this helped you. :)