Question:

Determine whether the following series converges. Justify your answer. 00 16 k=1 16k Select the correct choice below and fill in

Determine whether the following series converges. Justify your answer.
00
16
k=1
16k
Select the correct choice below and fill in the answer box to complete your choice.
(Type an exact answer.)
O A. The limit of the terms of the series is . so the series diverges by the Divergence Test
OB. The Root Test yields pa so the series diverges by the Root Test.
C. The Ratio Test yields r= so the series diverges by the Ratio Test.
D. The series is a geometric series with common ratio . so the series converges by the properties of a geometric series.
O E. The series is a geometric series with common ratio . so the series diverges by the properties of a geometric series.
OF. The Ratio Test yields r= , so the series converges by the Ratio Test.

Determine whether the following series converges. Justify your answer. 00 16 k=1 16k Select the correct choice below and fill in the answer box to complete your choice. (Type an exact answer.) O A. The limit of the terms of the series is . so the series diverges by the Divergence Test OB. The Root Test yields pa so the series diverges by the Root Test. C. The Ratio Test yields r= so the series diverges by the Ratio Test. D. The series is a geometric series with common ratio . so the series converges by the properties of a geometric series. O E. The series is a geometric series with common ratio . so the series diverges by the properties of a geometric series. OF. The Ratio Test yields r= , so the series converges by the Ratio Test.

Answer

16
B. Let ak
K
ak =
(16) K
K
(K+1), (163*
()
'
akal
ak
'.po
X
kt
(16)341
KT6
16
X
16
K.
k !
11
IS
lok. 16
K
16.
+
16
(1+k
to (1++)'
po= lim
lim to (itt
1)
Thoka
convergent
KA
16
:
TEV

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16 B. Let ak K ak = (16) K K (K+1), (163* () '... Download the app for the rest