Problem #$6$:

For the series ${\displaystyle \underset{n=1}{\overset{}{}}}{a}_n,$ if the partial sums $S_N$ are increasing, which of the following statements MUST be true?

$($i$){\displaystyle \underset{n=1}{\overset{}{}}}{a}_n$ diverges

$($ii$)\{a_n\}$ is an increasing sequence

$($iii$)a_n>0$ for $n>1$

$($A$)($ii$)$ only

$($B$)$ none of them

$($C$)($i$)$ and $($iii$)$ only

$($D$)($i$)$ only

$($E$)($iii$)$ only $($F$)($ii$)$ and $($iii$)$ only

$($G$)$ all of them $($H$)($i$)$ and $($ii$)$ only

Problem #$6$: $$

Submit Problem #$6$ for Grading

$\backslash$table$[[\backslash$table$[[$Problem #$6],[$Your Answer:$],[$Your Mark:$]],$Attempt $=1,$Attempt $22,$Altempt #$3]]$