Arithmetic Prog...

$$10^{th}$$ term of AP: $$2, 7, 12, .....$$ is

The sum to $$200$$ terms of the series $$1+4+6+5+11+6+.....$$ is

The sum of $$11$$ terms of an A.P. whose middle term is $$30,$$ is 

If the sum of the series $$54+51+48+.....$$ is $$513$$, then the number of terms are 

There are $$60$$ terms in an A.P. of which the first term is $$8$$ and the last term is $$185.$$ The $$31^{st}$$ term is

If the sum of the series $$2+5+8+11.....$$ is $$60100$$, then the number of terms are

Following two given series are in A.P.
$$2, 4, 6, 8 ...$$$$3, 6, 9, 12 ...$$
First series contains $$30$$ terms, while the second series contains $$20$$ terms. Both of the above given series contains some terms, which are common to both of them.The sum of both the above given A.P. are respectively:

The sum of $$12$$ terms of an A.P., whose first term is $$4,$$ is $$256.$$ What is the last term?

A ladder has rungs $$25$$ cm apart. The rungs decrease uniformly in the length from $$45$$ cm at the bottom to $$25$$ cm at the top. If the top and the bottom rungs are $$\displaystyle 2 \frac{1}{2}$$m apart, what is the length of the wood required for the rungs

Find the sum of all natural numbers not exceeding $$1000,$$ which are divisible by $$4$$ but not by $$8.$$