Find the sum of all Integers between $500$ and $1400$ (inclusive) that are not divisible by $7$.

For the following sequence, find an expression for general term and state whether the sequence is arithmetic, geometric or neither:

$10,50,250,1250,\dots$

For the following sequence, find an expression for general term and state whether the sequence is arithmetic, geometric or neither:

$41,35,29,23,\dots$

For the following sequence, find an expression for general term and state whether the sequence is arithmetic, geometric or neither:

$\frac{1}{3},-\frac{1}{9},\frac{1}{27},-\frac{1}{81},\dots$

For the following sequence, find an expression for general term and state whether the sequence is arithmetic, geometric or neither:

$1,1,2,3,5,8,\dots$

For the following sequence, find an expression for general term and state whether the sequence is arithmetic, geometric or neither:

$\frac{1}{2},\frac{3}{4},\frac{5}{6},\frac{7}{8},\dots$

For the following sequence, find an expression for general term and state whether the sequence is arithmetic, geometric or neither:

$-12,-36,-108,-324,\dots$

For each of the following real-life situations give the general term and state whether the sequence is arithmetic, geometric or neither.

Ahmad deposits $\$100$ in a savings account every month. After the first month, the balance is $\$100$; after the second month, the balance is $\$200$; and so on.

For each of the following real-life situations give the general term and state whether the sequence is arithmetic, geometric or neither.

Luciana is trying to lose weight. The first month, she loses $6 \mathrm{kg}$, and she continues to lose half as much each subsequent month.