Given the infinite series
a)show that the series is a geometric series
b)determine the set of value ofso that the sum to infinity ,
exist
c)if, find the sum of the first five terms,
and
.Show that
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Given the infinite series
a)show that the series is a geometric series
b)determine the set of value ofso that the sum to infinity ,
exist
c)if, find the sum of the first five terms,
and
.Show that
This problem is solved in a standard way, so you need to show some effort.
converges iff
. When you are looking for the set of x for which the series converges, remember that an equality changes sign when multiplied by a negative number.
what should i do sir?
For part (a), study the definition of geometric progression and geometric series.
For part (b), I gave you a hint. I used the term "converges." By definition, a series converges iff its sum to infinity exists.