I have been having trouble with this question for days and i am having difficulty understanding what the question is asking me, its on the subject of series convergence and divergence, its a long question

This question concerns grouping the terms of a series as follows:

a0+(a1+a2)+(a3+a4)+(a5+· · ·+a8)+(a9+· · ·+a16)+(a17+· · ·+a32)+· · ·

Suppose that

for all

.

Show that

hence show that if this series

converges then this series

also converges. and that if one of the two series diverges then so does the other.

hence determine if these series converge or diverge

and