Question

B. Insert four harmonic means between each pair of harmonic terms. 11. \( \frac{1}{3} \) and \( \frac{1}{31} \) 12. \( -\frac{1}{12} \) and \( \frac{1}{28} \) 13. 5 and \( \frac{5}{76} \) 14. -2 and \( \frac{4}{3} \)

          B. Insert four harmonic means between each pair of harmonic terms.
11. \( \frac{1}{3} \) and \( \frac{1}{31} \)
12. \( -\frac{1}{12} \) and \( \frac{1}{28} \)
13. 5 and \( \frac{5}{76} \)
14. -2 and \( \frac{4}{3} \)

B. Insert four harmonic means between each pair of harmonic terms.
11. (1)/(3) and (1)/(31)
12. -(1)/(12) and (1)/(28)
13. 5 and (5)/(76)
14. -2 and (4)/(3)

Added by Shelby D.

The IIT Foundation series of Mathematics Class

Trishna Knowledge Systems 5th Edition

Chapter 7

Instant Answer

Solved by Expert Julie Silva

04/10/2022

Step 1

The terms in a harmonic progression are the reciprocals of an arithmetic progression. Let's solve each problem step by step. ### Problem 11: \( \frac{1}{3} \) and \( \frac{1}{31} \) Show more…

Show all steps

Thanks for your feedback!

B. Insert four harmonic means between each pair of harmonic terms. 11. \( \frac{1}{3} \) and \( \frac{1}{31} \) 12. \( -\frac{1}{12} \) and \( \frac{1}{28} \) 13. 5 and \( \frac{5}{76} \) 14. -2 and \( \frac{4}{3} \)