- #1
JessicaSTAR
- 3
- 0
hi everyone, I am having trouble with a few problems, i was wondering if anyone can help me thank.
1.) given r= 11/22
a.)consider the sequence {nr^r}. if convergent find limit. if divergent find if it goes to inf or minus inf. or div otherwise
lim nr^r = ?
n->infinity
b.)take my word for it that it can be shown that
sigma i=1 to n ir^i = (n(r^(n+2))-(n+1)(r^(n+1))+r)/((1-r)^2)
now consider the series sigma n=1 to infinity nr^r
sigma n=1 to infinity nr^r = ? 2.) An= 8n/(6n+13)
the series sigma n=1 to infinity (An) =?
if convergent, find sum. if divergent find it it goes to positive or negitive.and 3.) An= 50/(5^n)
find whether {An} is convergent, if so, find limit.
any help would be great. thanks.
1.) given r= 11/22
a.)consider the sequence {nr^r}. if convergent find limit. if divergent find if it goes to inf or minus inf. or div otherwise
lim nr^r = ?
n->infinity
b.)take my word for it that it can be shown that
sigma i=1 to n ir^i = (n(r^(n+2))-(n+1)(r^(n+1))+r)/((1-r)^2)
now consider the series sigma n=1 to infinity nr^r
sigma n=1 to infinity nr^r = ? 2.) An= 8n/(6n+13)
the series sigma n=1 to infinity (An) =?
if convergent, find sum. if divergent find it it goes to positive or negitive.and 3.) An= 50/(5^n)
find whether {An} is convergent, if so, find limit.
any help would be great. thanks.