In an A.P., the first term is 2 and the sum of the first five terms is one-fourth of the next five terms. Show that 20th term is -112.

If the first term of an A.P. is 2 and the sum of the first five terms is equal to one-fourth of the sum of the next five terms, find the 20th term.

If the first term of an A.P. is 2 and the sum of the first five terms is equal to one-fourth of the sum of the next five terms, find the sum of first 30 terms.

Find the common difference of an A.P. whose first term is 100 and the sum of whose first six terms is five times the sum of the next six terms.

In an A.P., of which a is the first term, if the sum of the first p terms is zero, show that the sum of the next q terms is (-a(p +q)q)/(p-1) .

If first term is 2 and last term is 10 then find the sum of 5th term

If the 12th term of an A.P. is -13 and the sum of the first four terms is 24, what is the sum of the first 10 terms ?

In an A.P., the third term is p and the fourth term is q, find the 10th term and the general term.

The third term of a GP is 3. What is the product of the first five terms?

5th term of a G.P. is 2, then the product of first 9 terms is: