Geometric Progression, Basic Mathematics, GP, Sum Of Geometric Progression #geometricprogression #geometricmean #algebra #maths #gp #class11

In this lecture, I'll discuss basic concept of geometric progression. Geometric Progression (GP) is a type of sequence where each succeeding term is produced by multiplying each preceding term by a fixed number, which is called a common ratio. This progression is also known as a geometric sequence of numbers that follow a pattern.
Geometric mean is a mean or average, defined as the nth root of the product of the n values for the set of numbers.
The common ratio is the amount between each number in a geometric sequence. It is called the common ratio because it is the same to each number, or common, and it also is the ratio between two consecutive numbers in the sequence.
Sum to Infinite Terms of GP Formula: The formula for the sum of infinite Geometric Progression (GP) terms is S∞ = a / (1 - r) when the common ratio (|r|) is less than 1; otherwise,
The binomial approximation is useful for approximately calculating powers of sums of 1 and a small number x. It states that. ( 1 + x ) α ≈ 1 + α x .

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