If a, b, c are in A.P., then show that 3a, 3b, 3c are in G.P.

If a, b, c are in A.P., then show that 3^a, 3^b, 3^c are in G.P.

Solution:

If a, b, c are in A.P., then show that 10^{ax + 10}, 10^{bx + 10}, 10^{cx + 10}, x ≠ 0, 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.