Sequences and S...

Find the next number in the series.
$$3, 6, 9, 12, 15,....$$

The area of triangle whose vertices are $$A (-3, -1), B(5, 3)$$ and $$C(2, -8)$$ is ____ $$\text{ sq. units}$$.

Given three vertices of a triangle whose coordinates are A (1, 1), B (3, -3) and (5, -3). Find the area of the triangle.

If there are five consecutive integer in a series and the first integer is $$1$$, what is the value of the last consecutive integer?

In a _______ each term is found by multiplying the previous term by a constant.

A sequence of numbers in which each term is related to its predecessor by same law is called

$$5, 25, 125, .....$$ is an example of 

A ______ is the sum of the numbers in a geometric progression.

Identify the geometric series.

A _________ is a sequence of numbers where each term in the sequence is found by multiplying the previous term with a unchanging number called the common ratio.