Differentiation...

Which number comes next?
$$5, 9, 13, 17, 21, 25, 29,...$$

Find the next number of the series.
$$7, 10, 8, 11, 9, 12,....$$

$$2, 3,$$ __$$, 4, 4, 5, 6, 6, 6, 7, 7, 7...$$ What number should fill the blank?

Which pair of numbers comes next?
$$10, 18, 12, 21, 15 ,25, ,....$$

Fill in the blank: $$62, 66, 63, 66, 64,$$ __$$, 65,....$$

Look at this series: $$32, 31, 33, 32, 34, 33,...$$. What is the next number?

Find the value of $$'?'$$ in the series: $$12, 17, 15, ?, 18, 23, 21,....$$

The area of the triangle formed from points $$(1, 2), (2, 4)$$ and $$(3, 1)$$ is ____ square units.

Choose the missing number in the series: $$2, 2, 3, 4, 4,$$__$$, 6, 6, 7, 8, 8, 9....$$

Find the value of $$'x'$$ in the series: $$144, 169, x, 225, 256, 289$$.