Originally Posted by
Lawati9 the questions are :
(a) Can you give an example of a sequence which is increasing,
bounded from above and divergent? Justify your answer.
(b) Can you give an example of a convergent sequence {an} such that
sum ak , k=0 to infinty is divergent? Justify your answer.
(c) Can you give an example of a divergent sequence {an} such that
sum ak , k=0 to infinty is convergent? Justify your answer.
for the first question i thought of (-1)^n but its bounded from above and below and can't prove that it is increasing
for second question i think 1/n is the answer , as the sequence converges to 0 but the series diverges because it's a harmonic series
for the third question i have no idea at all