Straight Lines ...

Choose the correct statement(s):

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

$$10,$$ __$$, 15, 15, 20, 20, 25, 25,...$$. What number should fill the blank?

________ can be defined as arrangement of terms in which sequence of terms follow some conditions.

_______ is a series of successive events.

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 ____ $$\text{ sq. units}$$.

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

The area of the triangle formed by three vertices $$O(0, 0), A(1, 0), B(0, 1)$$ is _____ sq. units.