Properties of arithmetic progression|Introduction to geometric progression

Define an arithmetic progression.

What is Arithmetic progressions?

Define Geometrical progression.

If p^("th"), 2p^("th") and 4p^("th") terms of an arithmetic progression are in geometric progression, then the common ratio of the geometric progression is

Let three positive numbers a, b c are in geometric progression, such that a, b+8 , c are in arithmetic progression and a, b+8, c+64 are in geometric progression. If the arithmetic mean of a, b, c is k, then (3)/(13)k is equal to

If a, b & 3c are in arithmetic progression and a, b & 4c are in geometric progression, then the possible value of (a)/(b) are

Properties of geometric progression| Geometric mean

The first term of an arithmetic progression is 1 and the sum of the first nine terms equal to 369. The first and the ninth term of a geometric progression coincide with the first and the ninth term of the arithmetic progression.Find the seventh term of the geometric progression.

Geometric Progression | Problem solving of Geometric Progression