HP - harmonic progression

Determine the 10th term of the harmonic progression 6,4,3,…

Correct answer:

h10 =  1.0909

Step-by-step explanation:

h1=6 h2=4 h3=3  a1=1/h1=1/6=160.1667 a2=1/h2=1/4=14=0.25 a3=1/h3=1/3=130.3333  d1=a2a1=0.250.1667=1120.0833 d2=a3a2=0.33330.25=1120.0833  d1=d2 d=d1=0.0833=1120.0833  a10=a1+9 d=0.1667+9 0.0833=11120.9167  h10=1/a10=1/0.9167=1211=1111=1.0909



We will be pleased if You send us any improvements to this math problem. Thank you!






avatar




Tips to related online calculators
Looking for calculator of harmonic mean?
Looking for a statistical calculator?

You need to know the following knowledge to solve this word math problem:

Related math problems and questions:

  • HP - harmonic progression
    sequence_geo Determine the 8th term of the harmonic progression 2, 4/3, 1,…
  • HP - harmonic progression 2
    seq Compute the 16th term of the HP if the 6th and 11th term of the harmonic progression are 10 and 18 respectively.
  • Insert 6
    seq Insert four harmonic means between 3/7 and 3/19
  • Harmonic mean
    means_math If x, y, z form a harmonic progression, then y is the harmonic mean of x and z. Find the harmonic mean of the numbers 6 and 5.
  • Harmonic 4
    mean_normal The harmonic mean of -6 and 5.
  • Sequence 11
    sequence_geo What is the nth term of this sequence 1, 1/2, 1/3, 1/4, 1/5?
  • Harmonic mean
    sequence_geo Harmonic means of 6 and 12
  • Insert 7
    seq Insert five harmonic means between 3 and 18
  • Weighted harmonic average
    workers Ten workers will do some work in 2 minutes, five workers in 10 minutes and three workers in 6 minutes. How many minutes per average worker per worker?
  • If the 3
    sequence_geo If the 6th term of a GP is 4 and the 10th is 4/81, find common ratio r.
  • 10th term
    seq_sum What is the 10th term of the Arithmetic Progression if x1=4 and d=5?
  • Insert 5
    sequence_geo Insert five harmonic means between 1/2 and 1/26
  • Arithmetic progression 2
    seq_sum The 3rd term of an Arithmetic progression is ten more than the first term, while the fifth term is 15 more than the second term. Find the sum of the 8th and 15th terms of the Arithmetic progression if the 7th term is seven times the first term.
  • Harmonic series
    mean_normal Insert four members between 5/3 and 5/11 to form harmonic series (means).
  • Average
    chart If the average(arithmetic mean) of three numbers x,y,z is 50. What is the average of there numbers (3x +10), (3y +10), (3z+10) ?
  • Variability
    lienky In the table bellow the number of wrong produced goods in two shifts: morning shift: 2; 0; 6; 10; 2; 2; 4; 2; 5; 2; afternoon shift: 4; 4; 0; 2; 10; 2; 6; 2; 3; 10; Compare the variability in both shifts, compare the average number of wrong goods on both
  • Pool
    pool If water flows into the pool by two inlets, fill the whole for 19 hours. The first inlet filled pool 5 hour longer than the second. How long pool take to fill with two inlets separately?