\ \
The series is . \ \
(a) \ \
\ \ \
\ \
\ \
\ \
. \ \
. \ \
\ \
(b) Tabulate the values for different values of
.
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
\ \
(c) \ \
\Find the first ten terms of the sequence. \ \
\The sum of series is . \ \
If then
. \ \
If then
. \ \
If then
. \ \
If then
. \ \
If then
. \ \
If then
. \ \
If then
. \ \
If then
. \ \
If then
. \ \
If then
. \ \
Graph : \ \
\Graph the values . \ \
\ \
\ \
(d) \ \
\The terms of the series decrease in magnitude slowly.So, the sequence of partial sums approaches the sum slowly. \ \
\ \ \
(a) . \ \
(b)
\![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
(c) Graph : \ \
\Graph the values . \ \
\ \
(d) The terms of the series decrease in magnitude slowly.So, the sequence of partial sums approaches the sum slowly.