UPES B.Tech Admissions 2025
ApplyRanked #46 among universities in India by NIRF | Highest CTC 50 LPA | 100% Placements
Harmonic Progression is considered one of the most asked concept.
9 Questions around this concept.
If are in H.P., then the expression is equal to:
Harmonic Progression
A sequence of non-zero numbers is called a harmonic progression if the sequence is an arithmetic progression.
OR
Reciprocals of arithmetic progression is a Harmonic progression.
Eg, is an HP because their reciprocals 2, 5, 8, 11,... form an A.P.
No term of the H.P. can be zero.
The general form of HP is
Here a is the first term and d is the common difference of corresponding A.P.
General term of a Harmonic Progression
The nth term or general term of a H.P. is the reciprocal of the nth term of the corresponding A.P.
Thus, if is an H.P. and the common difference of corresponding A.P. is d, i.e. , then the nth term of corresponding AP is and hence, the general term or nth term of an H.P. is given by
Note:
There is no general formula for the sum of n terms that are in H.P.
"Stay in the loop. Receive exam news, study resources, and expert advice!"
Mathematics Textbook for Class VII
Page No. : 5.18
Line : 32
July 04, 2019
8768+ Downloads
18078+ Downloads
6202+ Downloads
2329+ Downloads
1948+ Downloads
2424+ Downloads
171279+ Downloads
Ranked #46 among universities in India by NIRF | Highest CTC 50 LPA | 100% Placements
Asia's Only University with the Highest US & UK Accreditation
170+ Recruiters Including Samsung, Zomato, LG, Adobe and many more | Highest CTC 47 LPA
Hands on Mentoring and Code Coaching | Cutting Edge Curriculum with Real World Application
Outstanding faculty of Eminence from IIT, BITS, IIM, IIIT NIT, NID and faculty from foreign universities | Merit & sports based scholarship
Merit Scholarships | NAAC A+ Accredited | Top Recruiters : E&Y, CYENT, Nvidia, CISCO, Genpact, Amazon & many more