Determine whether the geometric series i

Question

Determine whether the geometric series is convergent or divergent.
00
Ë
(2x)"
no 6n + 1
convergent
divergent
)
If it is convergent, find its sum. (If the quantity diverges, enter DIVERGES.)
61+1
(2n)
X
61+1

Kunduz · Accepted Answer

we have
00
(2TT)?
65+1
no
co
(211)
não 6² 6
0
+ 6 E (201)
0
o
n
।।
E (T
6
3
no
Now,
we know, Infinite
00
k
E ar
-
a
I-r
geometuc seciel
is convergent
if, 1211
k=0
from
a - 1
3
but ,
T
K
1
O
> (20)
=0
is not convergent
divergent,
it
is

Determine whether the geometric series is convergent or divergent. 00 Ë (2x)" no 6n + 1 convergent divergent ) If it is converge