find the sum of the geometric series: summation as n=0 to infinity of 4 n+1 / 5 n find the sum of the geometric series: summation as n=1 to infinity...

find the sum of the geometric series: summation as n=0 to infinity of 4n+1/ 5n
find the sum of the geometric series: summation as n=1 to infinity of (-1)n+1 (4n+2/7n-1)
write the number 0.35353535... as a rational number.
use partial fractions, find the sum: summation as n=1 to infinity of 1/ (n+2)(n+3)
apply the n-term test, and state what it tells about the series: summation as n=1 to infinity of n2+n+3/ 2n2 +1
apply the n-term test, and state what it tells about the series: summation as n=1 to infinity of (1+n)1/n
use the integral test to determine whether the series is convergent or divergent: summation as n=1 to infinity of n2e-n
use the integral test to determine whether the series is convergent or divergent: summation as n=1 to infinity of n/n2+1
use direct comparison test to determine whether the series is convergent or divergent: summation as n=1 to infinity of 3/ n1/2-1/2
use direct comparison test to determine whether the series is convergent or divergent: summation as n=1 to infinity of 5/2+3n