If
∑(n=0)[infinity] cₙ5n
is convergent, can we conclude that
∑(n=0)[infinity] cₙ(-3)n
is convergent? Give the reason for your answer. If
∑(n=0)[infinity] cₙ5n is convergent,
a) Yes, because the series converges for any value of n.
b) Yes, because the series is absolutely convergent.
c) No, because the convergence of the series depends on the values of cₙ.
d) No, because the convergence of the series depends on the values of n.