CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

If n HM's are inserted between a & b, Harmonic mean of sequence formed is



A

loader
B

loader
C

loader
D

loader

Solution

The correct option is B


Let a1a2, ------- an be the HM's inserted.

a, a1a2, ------- an, b form H.P.

1a1a11a2,--------1an1b form A.P.

Harmonic mean = (n+2)1a+1a1++1an+1b 

                        = (n+2)n+22[1a+1b] [sum of n terms in AP with first and last terms as 'a' & 'l' = n2(a + l)]

                        = 112(a+bab))

                        = 2aba+b


Mathematics

Suggest Corrections
thumbs-up
 
0


similar_icon
Similar questions
View More


similar_icon
People also searched for
View More



footer-image