For the following $APs$,$-5, -1, 3, 7, \ldots$,write the first term and the common difference.

Divya deposited $Rs. 1000$ at compound interest at the rate of $10\%$ per annum. The amounts at the end of the first year,second year,third year,$\ldots,$ form an $AP$. Justify your answer.

Determine whether the following sequence is an $A.P.$ or not. (Assume that the pattern continues.) If it is an $A.P.$,find its $n^{th}$ term: $\frac{1}{2}, \frac{2}{3}, \frac{3}{4}, \frac{4}{5}, \ldots$

Which of the following is not an $A.P.$?

$-10, -6, -2, 2, \ldots$ are $APs$? If they form an $AP$,find the common difference $d$ and write three more terms.

$2, \frac{5}{2}, 3, \frac{7}{2}, \ldots$ are $APs$? If they form an $AP$,find the common difference $d$ and write three more terms.