Q:

Determine whether the sequence converges or diverges. If it converges, give the limit. 48, 8, four divided by three, two divided by nine, ...

Accepted Solution

A:
48, 8 , 4/3,2/9

note that each term after the first one is calculated by multiplying the previous on by 1/6. The sequence converges

Limit  = a1 / (1 -r)  = 48 / ( 1- 1/6)    =  57.6  or 57 3/5