Question

MEDALS AND FAN
Determine whether the sequence converges or diverges. If it converges, give the limit.

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

Converges; 288/5
Converges; 0
Diverges
Converges; -12432

Answer 1

it converges

Answer 2

and 288/5 because a/(1-r) = 48/(1-1/6) = 48*6/5 =288/5

Answer 3

it is an infinite G.P
\[r=\frac{ 8 }{ 48 }=\frac{ 1 }{ 6 }<1\]
\[s _{\infty }=\frac{ a }{ 1-r }\]