Question

what is geometric progression?? ​

Answer 1

a series of numbers in which each is multiplied or divided by a fixed number to produce the next, for example 1, 3, 9, 27, 81

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Answer 2

$\huge{\mathfrak{\red{\underline{\underline{Geometric\;Progression:-}}}}}$

Geometric progression is a sequence of numbers where each term after first is found by multiplying the previous one by a fixed non-zero number called the common ratio. For example, the sequence 2, 6, 18, 54,....... is a geometric progression with common ratio 3. Similarly 10, 5, 2.5, 1.25,...... is a geometric sequence with common ratio 1/2. The sum of the terms of a geometric progression is known as a geometric series.

Thus, the general form of a geometric sequence is:

$\bf{a,\;ar,\;ar^{2},\;ar^{3},\;ar^{4},.........}$