Find the geometric series 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 51st term of an AP whose 11th term is 38 and the 16th term is 73.

Find the AP whose third term is 4 times first term and 6 th term is 17.

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

Determine the AP whose third term is 10 and the 7th term exceeds the 5th term by 12.

Find the second term and nth term of an A.P. whose 6th term is 12 and 8th term is 22.

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

Find the first six terms of the sequence whose first term is 1 and whose (n+1)th term is obtained by adding n to the nth term.