HP - harmonic progression 2

Compute the 16th term of the HP if the 6th and 11th term of the harmonic progression are 10 and 18 respectively.

Correct result:

h16 =  90

Solution:

h6=10 h11=18  a6=1/h6=1/10=110=0.1 a11=1/h11=1/18=1180.0556  d=(a11a6)/(116)=(0.05560.1)/(116)=22250.0089 a1=a65 d=0.15 (0.0089)=13900.1444  a16=a1+15 d=0.1444+15 (0.0089)=1900.0111  h16=1/a16=1/0.0111=90



We would be pleased if you find an error in the word problem or inaccuracies and send it to us. Thank you!



Showing 0 comments:
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
    exp_growth_1 Determine the 10th term of the harmonic progression 6,4,3,…
  • 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.
  • HP - harmonic progression
    sequence_geo_1 Determine the 8th term of the harmonic progression 2, 4/3, 1,…
  • Insert 7
    seq_1 Insert five harmonic means between 3 and 18
  • 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?
  • Arithmetic progression 2
    seq_sum The 3rd term of an Arithmetic progression is 10 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 7 times the first term.
  • GP members
    sequence_geo_8 The geometric sequence has 10 members. The last two members are 2 and -1. Which member is -1/16?
  • Find the 19
    numbers_3 Find the 1st term of the GP ___, -6, 18, -54.
  • What is 10
    numbers2_4 What is the 5th term, if the 8th term is 80 and common ratio r =1/2?
  • Speed of Slovakian trains
    zssk_train Rudolf decided to take the train from the station 'Ostratice' to 'Horné Ozorovce'. In the train timetables found train Os 5409 : km 0 Chynorany 15:17 5 Ostratice 15:23 15:23 8 Rybany 15:27 15:27 10 Dolné Naštice 15:31 15:31 14 Bánovce nad Bebravou 15:35 1
  • Harmonic series
    mean_normal Insert four members between 5/3 and 5/11 to form harmonic series (means).
  • My father
    tree3_2 My father has a big farm. 6/8 of it were planted with mango trees, 1/2 of the remainder are guava trees and the rest 10 trees are santol trees. What is the number of all trees?
  • Common difference
    apollo The 4th term of an arithmetic progression is 6. If the sum of the 8th and 9th term is -72, find the common difference.
  • Find d 2
    lines Find d in an A. P. whose 5th term is 18 and 39th term is 120.
  • 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_1 What is the 10th term of the Arithmetic Progression if x1=4 and d=5?
  • Mean
    integrales if the mean of the set of data 5, 17, 19, 14, 15, 17, 7, 11, 16, 19, 5, 5, 10, 8, 13, 14, 4, 2, 17, 11, x is -91.74, what is the value of x?