Arithmetic Prog...

The sum of the third and ninth terms of an A.P is $$8$$. Find the sum of the first $$11$$ terms of the progression.

What is the sum of all positive integers up to $$1000$$, which are divisible by $$5$$ and are not divisible by $$2$$?

If the $$5th$$ and $$8th$$ term of an AP are $$6$$ and $$15$$ respectively, find the $$19th$$ term

The $$17$$th term of an AP exceeds its $$10$$th term by $$7$$. Find the common difference

If the sum of an AP is the same for $$p$$ terms as for the $$q$$ terms , Find the sum for $$(p+q)$$ terms

Subba Rao started work in $$1995$$ at an annual salary of Rs. $$5000$$ and received an increment of Rs. $$200$$ each year. In which year did his income reached Rs. $$7000$$?

Find the sum of first 10 terms of the arithmetic sequence $$1, 3, 5, 7, ...........$$

Given $$a_3=15, S_{10}=125$$, Find d and $$a_{10}$$

Find the sum of first 10 terms of the arithmetic series if $$a_1 = 2$$ and $$a_{10} = 22$$.

What is the sum of first 20 multiples of 2?