Find the value of x such that
(i)
are three consecutive terms of a G.P.
(ii) x + 9, x – 6 and 4 are three consecutive terms of a G.P.
(iii) x, x + 3, x + 9 are first three terms of a G.P. Find the value of x.
Solution:
If the fourth, seventh and tenth terms of a G.P. are x, y, z respectively, prove that x, y, z are in 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.