Find five numbers in A.P. whose sum is `12(1)/(2)` and the ratio of first to the last is 2:3

Find three numbers in A.P. : whose sum is 21 and product is 315.

Find three numbers in A.P. : whose sum is 24 and Product is 440.

Find four terms in A.P. whose sum is 20 and the sum of whose squares is 120.

The sum of four numbers in G.P. is 60 and the arithmetic mean of the first and the last is 18. Find the numbers.

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.

Find the sum of 40 terms of an A.P. whose third term is 1 and 6th term is - 11.

Find the sum of 32 terms of an A.P. whose third term is 1 and the 6th term is -11.

If the ratio of sum of m terms of an A.P. to the sum of n terms is (2m + 1) : (3n +1), find the ratio of 7th to 10th term

Find last term of an A.P. whose sum is 148 and A.P. is 1,6, 11, 16, ...

If the ratio of the sum of m terms of an A.P. to the sum of n terms is m2 : n2. Show that the ratio of the 5th to 11th term is 3 : 7.