Arithmetic Prog...

The first three terms of an $$AP$$ are $$57, 53$$ and $$49$$. Which of the following term will be its first negative term?

Check whether $$6$$ is a term of an $$AP$$ $$34, 30, 26, 22, 18, ...$$ or not?

Which of the following term of the arithmetic progression $$36, 33, 30, 27, ....$$ is $$0$$?

For an $$AP,$$ if the sum of four consecutive terms is $$42,$$ and common difference is $$1.$$ Then its first term is

The sum of three terms in an $$AP$$ is $$9$$ and sum of their squares is $$45.$$ Find the terms.

If the sum and product of 3 consecutive terms of an $$AP$$ is $$12$$ and $$0$$ respectively, then what will be the terms?

Which of the following pair of terms do you prefer if the sum of two consecutive terms of an $$AP$$ is given whose first term is $$a$$ and common difference is $$d$$?

It is given that the sum of four terms of an $$AP$$ is $$2$$ and their product is zero, then what will be the terms?

Find the four consecutive terms of an $$AP$$ whose sum is $$12$$ and sum of $$2nd$$ and $$4th$$ term is $$8$$.

If $${ S }_{ 1 },{ S }_{ 2 },{ S }_{ 3 },.......,{ S }_{ r }$$ are the sums of first n terms of r arithmetic progression whose first terms are $$1,2,3......$$ and whose common differences are $$1,3,5,.......$$ respectively, then the value of $${ S }_{ 1 }+{ S }_{ 2 }+{ S }_{ 3 }+.......+{ S }_{ r }$$ is