what is geometric expression..?
Answers
Answer:
A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant. where r is the common ratio between successive terms. Example 1: {2,6,18,54,162,486,1458,...}
Answer:
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Step-by-step explanation:
In mathematics, a geometric progression, also known as a geometric sequence, is a sequence of numbers where each term after the 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.
Examples of a geometric sequence are powers rk of a fixed number r, such as 2k and 3k. The general form of a geometric sequence is
{\displaystyle a,\ ar,\ ar^{2},\ ar^{3},\ ar^{4},\ \ldots } a,\ ar,\ ar^{2},\ ar^{3},\ ar^{4},\ \ldots
where r ≠ 0 is the common ratio and a is a scale factor, equal to the sequence's start value.