Arithmetic Prog...

$$(p + q)^{th}$$ and $$(p - q)^{th}$$ terms of an A.P. are respectively $$m$$ and $$n.$$ The $$p^{th}$$ term is

Sum of first $$5$$ terms of an A.P. is one fourth of the sum of next five terms. If the first term is $$ 2,$$ then the common difference of the A.P. is

The first term of an A.P. of consecutive integers is $$p$$$$^2$$ $$+ 1. $$The sum $$2p + 1$$ terms of this series can be expressed as

In an A.P. S$$_3$$ $$= 6$$, S$$_6$$ $$= 3$$, then it's common difference is equal to ?

The sum of all $$2$$-digit odd number is

The sum of first 24 terms of the sequence whose n$$^{th}$$ term is given by $${a}_{n} = 3 + \displaystyle\frac{2n}{3}$$, is

If $$7^{th}$$ and $$13^{th}$$ terms of an A.P. are  34 and 64, respectively, then its $$18^{th}$$ term is

In an A.P., $$S_1 = 6, S_7 = 105,$$ then $$S_n$$: $$S_{n-3}$$ is same as

The sum of all two digit numbers which leave remainder $$1$$ when divided by $$3$$ is

If the $$nth$$ term of the AP $$9, 7, 5..$$ is same as the $$nth$$ term of the AP $$15, 12, 9,...$$, find $$n.$$