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