Question

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

Answer 1

Answer:

Converges, 57.6

Step-by-step explanation:

48, 8, 4/3, 2/9...

ratio = 8/48 = 1/6

A sequence converged if the ratio is between -1 and 1.

So, this sequence converges

Limit = a/(1-r)

Where a is the first term, and r is the common ratio

Limit = 48/[1 - (1/6)]

= 48/[5/6]

= 48 × 6/5

= 57.6

Answer 2

Answer:

Converges; 0

Step-by-step explanation:

All of the numbers are converging towards 0. Always being divided by 6, each time, getting closer to 0.

48/6 = 8

8/6 = 4/3

4/3/6 = 2/9

etc.