What Is The Next Term In The Harmonic Sequence 1/11, 1/15, 1/19, 1/23,2026?, A. 27 , B. 25 , C. 1/25, D. 1/27

What is the next term in the harmonic sequence 1/11, 1/15, 1/19, 1/23,…?

a. 27
b. 25
c. 1/25
d. 1/27

 

Answer:

D. 1/27

Step-by-step explanation:

Harmonic sequences are simply arithmetic sequences but with the terms reciprocals.

1/11, 1/15, 1/19, 1/23

would be

11, 15, 19, 23

The common difference is 4, therefore the next term is 27. In the harmonic sequence (reciprocal), the next term is 1/27.