Find the geometric progression whose 4th term is 54 and the 7th term is 1458.

Determine the AP whose 3rd term is 5 and the 7th term is 9.

Find the 31th term of an AP whose 11th term is 38 and the 16th term is 73.

Find four numbers forming a geometric progression in which the third term is greater than the first term by 9, and the second term is greater than the 4^("th") by 18.

The first term of an arithmetic progression is 1 and the sum of the first nine terms equal to 369 . The first and the ninth term of a geometric progression coincide with the first and the ninth term of the arithmetic progression. Find the seventh term of the geometric progression.

The 4th term of a geometic progression is 2/3 and the seventh term is 16/81 . Find the geometic series.

Find the 31st term of an A.P. whose 11th term is 38 and 6th term is 73.

If the fourth term of a series in geometric progression is 24 and the seventh term is 192, find the sum of its first ten terms.

Find the 20th term of the A.P. whose 7th term is 24 less than the 11th term, first term being 12.

If the pth term of an arithmetic progression is q and the qth term is p, show that its (p+q)th term is 0.

Determine the A.P whose third term is 16 and 7th exceeds the 5th term by 12.