What does HP mean in math?
What does HP mean in math?
What is Harmonic Progression? A Harmonic Progression (HP) is defined as a sequence of real numbers which is determined by taking the reciprocals of the arithmetic progression that does not contain 0.
What is AP and GP and HP?
Arithmetic Progression (AP) Geometric (GP) and Harmonic Progression (HP): CAT Quantitative Aptitude. Arithmetic Progression, Geometric Progression and Harmonic Progression are interrelated concepts and they are also one of the most difficult topics in Quantitative Aptitude section of Common Admission Test, CAT.
What is AP and HP in maths?
A sequence of numbers is called a harmonic progression if the reciprocal of the terms are in AP. In simple terms, a,b,c,d,e,f are in HP if 1/a, 1/b, 1/c, 1/d, 1/e, 1/f are in AP. For two terms ‘a’ and ‘b’, Harmonic Mean = (2 a b) / (a + b)
What is the meaning of AP and GP?
Application of A.P. and G.P.: An Arithmetic Progression (AP) is a set of terms in which the differences between each term are the same. Each successive term in a Geometric Progression (GP) is obtained by multiplying the common ratio by the preceding term.
How do you find HP in math?
Harmonic Progression (HP): The series of numbers where the reciprocals of the terms are in Arithmetic Progression, is called a Harmonic Progression. If three numbers a, b and c are in HP, then 1 a + 1 c = 2 b . Area of a triangle = 1/2×Base×Height.
What is GP formula?
The formula to calculate the sum of the first n terms of a GP is given by: Sn = a[(rn – 1)/(r – 1)] if r ≠ 1and r > 1. Sn = a[(1 – rn)/(1 – r)] if r ≠ 1 and r < 1. The nth term from the end of the GP with the last term l and common ratio r = l/ [r(n – 1)].
What is AP & GP?
What is AP GP in maths?
Whats is GP?
A GP is a doctor who does not specialize in any particular area of medicine, but who has a medical practice in which he or she treats all types of illness. GP is an abbreviation for ‘general practitioner. ‘
What is the sum of GP?
The sum of GP (of n terms) is: Sn = a(rn – 1) / (r – 1) [OR] Sn = a(1 – rn) / (1 – r), if r ≠ 1.
What is HP in sequence and series?
Introduction. A series of terms is known as a HP series when the reciprocals of elements are in arithmetic progression. E.g.,1/a, 1/(a+d), 1/(a + 2d), and so on are in HP as a, a + d, a + 2d are in AP. In other words, the inverse of a harmonic sequence follows the rule of an arithmetic progression.
What is AP GP?
What is sum of GP?
The GP sum formula used to find the sum of n terms in GP is, Sn = a(rn – 1) / (r – 1), r ≠ 1 where: a = the first term of GP. r = the common ratio of GP.
What is GP Formula?
What is the nth term of GP?
The nth term of a geometric sequence with first term a and the common ratio r is given by an=arn−1 a n = a r n − 1 .
What does GP stand for location?
What is the nth term of an HP?
In order to solve a problem on Harmonic Progression, one should make the corresponding AP series and then solve the problem. As the nth term of an A.P is given by an = a + (n-1)d, So the nth term of an H.P is given by 1/ [a + (n -1) d].