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Can difference between AP series and GP series?

Updated: 9/17/2023
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Succession of numbers of which one number is designated as the first, other as the second,

another as the third and so on gives rise to what is called a sequence. Sequences have

wide applications. In this lesson we shall discuss particular types of sequences called

arithmetic sequence, geometric sequence and also find arithmetic mean (A.M), geometric

mean (G.M) between two given numbers. We will also establish the relation between

A.M and G.M

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Q: Can difference between AP series and GP series?
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Difference between AP series GPs reis?

In an arithmetic progression (AP), each term is obtained by adding a constant value to the previous term. In a geometric progression (GP), each term is obtained by multiplying the previous term by a constant value. An AP will have a common difference between consecutive terms, while a GP will have a common ratio between consecutive terms.


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A "GP" is the abbreviation for "General Practitioner" or more commonly called "Family Physician". Thus, a "GP" is a doctor. There is a difference between "General Practitioners" and "Specialists". A GP can evaluate and arrange an appointment with a specialist, if one is needed.


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Is geometric sequence multiplying and dividing?

A geometric sequence (aka Geometric Progression or GP) is one where each term is the previous term multiplied by a constant (the common difference) As division is the inverse of multiplication, each term can also be said to be the previous term divided by the reciprocal of the constant. The sum Sn of n terms of a GP can be found by: Sn = a(1 - rⁿ)/(1 - r) = a(rⁿ - 1)/(r - 1) where: a is the first term r is the common difference n is the number of terms If the value of the common difference is between -1 and 1 (ie |r| < 1), then the sum of the GP will be finite since as n→ ∞ so rⁿ → 0, and will be: S = a/(1 - r)


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