Arithmetic Prog...

The tenth term of an A.P. : $$\sqrt {2}, 3\sqrt {2}, 5\sqrt {2}, 7\sqrt {2}$$, ..... is:

Match the APs given in column A with suitable common differences given in column B.

Find the sum of the first $$15$$ terms of the sequences having $$n$$th term as
$${ x }_{ n }=6-n$$

Identify which of the following list of numbers is an arithmetic progression?

If $$7th$$ and $$13th$$ terms of an $$A.P$$. Be $$34$$ and $$64$$, respectively, then its $$18th$$ terms is:

If two terms of an arithmetic progression are known, then the two terms can be represented using which of the formula below?

The third term of  an arithmetic progression is $$18$$, and the seventh term is $$30$$, then the sum of $$17$$ terms is 

Sum of the first $$20$$ odd natural numbers is

The sum of first $$p$$ terms of an arithmetic progression is $$q$$, and the sum of first $$q$$ term is $$p$$, then the sum of first $$p + q$$ terms is

The first term of an $$A.P.$$ is $$10$$ and its $$41^{st}$$ term is $$81$$. Find the sum of the series, if $$81$$ is the last term.