dates of 2020 which are a geometric progression (all possible dates).
Answers
A sequence of numbers is called a Geometric progression if the ratio of any two consecutive terms is always same. In simple terms, it means that next number in the series is calculated by multiplying a fixed number to the previous number in the series.For example, 2, 4, 8, 16 is a GP because ratio of any two consecutive terms in the series (common difference) is same (4 / 2 = 8 / 4 = 16 / 8 = 2).
Answer:
Fact about Geometric Progression :
Initial term: In a geometric progression, the first number is called the initial term.
Common ratio: The ratio between a term in the sequence and the term before it is called the “common ratio.”
The behaviour of a geometric sequence depends on the value of the common ratio. If the common ratio is:
Positive, the terms will all be the same sign as the initial term.
Negative, the terms will alternate between positive and negative.
Greater than 1, there will be exponential growth towards positive or negative infinity (depending on the sign of the initial term).
1, the progression is a constant sequence.
Between -1 and 1 but not zero, there will be exponential decay towards zero.
-1, the progression is an alternating sequence.
Less than -1, for the absolute values there is exponential growth towards (unsigned) infinity, due to the alternating sign.