Arithmetic Prog...

Find $$n$$ if the given value of $$x$$ is the $$n^{th}$$ term of the AP: $$5\dfrac{1}{2}, 11, 16\dfrac{1}{2},22,... $$ ; $$x=550$$. 

Which term of the AP: $$3, 10, 17,..$$ will be $$84$$ more than its $$13^{th}$$ term?

How many terms are there in the A.P., $$7, 13, 19, ...205$$ ?

If the sum of $$n$$ terms of an AP is $$2n$$$$^2$$ $$+ 5n$$, then its $$n$$th term is

Find the sum of all even integers between $$101$$ and $$999.$$

Which term of the A.P.,  $$84, 80, 76,..$$ is $$0?$$

 Find the sum of first $$n$$ odd natural numbers.

Find the $$n^{th}$$ term of the sequence $$m -1, m - 3, m - 5,.....$$

Find the $$12^{th}$$ term from the end of the arithmetic progression $$3, 5, 7, 9,...201?$$

Check if the series is an $$AP.$$ Find the common difference $$d$$. Also, find the next three terms.

$$-10, -6, -2 , 2.....$$.