Does the sequence $-2, 2, -2, 2, -2, \ldots$ form an $AP$? If it forms an $AP$,write the next two terms.

In a potato race,a bucket is placed at the starting point,which is $5\, m$ from the first potato,and the other potatoes are placed $3\, m$ apart in a straight line. There are ten potatoes in the line. $A$ competitor starts from the bucket,picks up the nearest potato,runs back with it,drops it in the bucket,runs back to pick up the next potato,runs to the bucket to drop it in,and she continues in the same way until all the potatoes are in the bucket. What is the total distance the competitor has to run? (in $m$)

Choose the correct choice in the following and justify: the $11^{th}$ term of the $AP: -3, -\frac{1}{2}, 2, \ldots$ is

Find the $31^{st}$ term of an $AP$ whose $11^{th}$ term is $38$ and the $16^{th}$ term is $73.$

The $17^{th}$ term of an $AP$ exceeds its $10^{th}$ term by $7$. Find the common difference.

For the following $APs,$ $3, 1, -1, -3, \ldots$ write the first term and the common difference.