CT 31: Arithmetic & Geometric Progression – II

1.The 5^th and 12^th terms of a G.P. are 32 and 4096 respectively. Find the n^th term of the G.P.

2. A man saved Rs. 66,000 in 20 years. In each succeeding year after the first year he saved Rs. 200 more than what he saved in the previous year. How much did he save in first year?

3. The sum of first 20 terms of the series  is?

4. If a, b, c are in A.P. as well as in G.P. then

5. If 3^rd term of a geometric progression is 1/9 and common multiple is 1/3, then what is the sum of first four terms of the geometric progression?

6. Calculate the four numbers in a GP in which the difference of the 3^rd and the 1^st terms is 11 and the difference of the 4^th and 2^nd terms is 22.

7. The sum of first ‘n’ terms of two A.P. 3, 7, 11, 15, ___and 30, 33, 36, 39, ___ are equal then find the value of ‘n’:

8. The difference between the n^th term and (n - 1)^th term of a sequence is independent of n. Then the sequence follows which one of the following?

9. What is the geometric mean of the observations 125, 729, 1331?

10. If the 4^th, 10^th and 16^th terms of a G.P. are p, q and r respectively. Find that p, q, r are in