Three numbers are in A.P. and their sum is 15. If 1, 4, and 19 are added to these numbers respectively, the resulting numbers are in G.P. Find the numbers.
Solution:
Three numbers form an increasing G.P. If the middle term is doubled, then the new numbers are in A.P. Find the common ratio of the G.P.
Solution:
More Solutions:
- The terms of a G.P. with first term a and common ratio r are squared.
- If a, b, c are in G.P. show that (1/a), (1/b), (1/c) are also in G.P.
- If a, b, c, d are in G.P., show that.
- The number of bacteria in a certain culture doubles every hour.
- Find the sum of 20 terms of the series 2 + 6 + 18 + …
- Find the sum of the first 10 terms of the geometric series.