hi everyone, im having trouble with a few problems, i was wondering if anyone can help me thank.(adsbygoogle = window.adsbygoogle || []).push({});

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.

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# Series and sequence help

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