Latest TCS Aptitude Question SOLUTION: 23. A sequence x1 , x2 and x3 … is said to be in a harmonic progression if the reciprocals 1/x1,1/x2 and 1/x3 are in arithmetic progression. The 5th term and the 7th term for an

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23. A sequence x1 , x2 and x3 … is said to be in a harmonic progression if the reciprocals 1/x1,1/x2 and 1/x3 are in arithmetic progression. The 5th term and the 7th term for an harmonic progression are 30 and 50 respectively. What is the difference between the 6th and 4th term.

a. 16
b. 14.5
c. 13.4
d. 12.5.

Asked In TCS Hari Priya Kazipeta (11 years ago)

Unsolved Read Solution (6)

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Garima  (11 years ago)

@HRDARJI ,

pls check.
ur approach is correct but calculation and hence result is wrong.
here d= -1/150
and
a= 3/50.

Pls excuse me if there is any mistake on my part.

Is this solution Helpfull? Yes (11) | No (1)  

santosh pandey  (11 years ago)

if x1,x2,x3 are in hp
so 1/x1,1/x2,1/x3 are in AP
in ap series are a,a+d,a+2d+....
given,
7th term=1/50
5th term=1/30
i.e 1/30=a+4d....eq(1)
1/50=a+6d....eq(2)
solve eq(1)&(2)
we get ,a=3/50
d=-1/150
4th term=a+3d=1/25
6th term=a+5d=1/37.5
so in differene is 37.5-25=12.5 ans

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HRDARJI  (11 years ago)

1/30 = a + 4d

1/50 = a + 6d

we get a=d= 1/150

6th term =1/25
4th term =1/37.5

difference 37.5-25 = 12.5

Is this solution Helpfull? Yes (10) | No (8)  

Shweta  (11 years ago)

Hradarji has managed to match the answer with Engg skills.


Actually a= 3/50 and d= -1/150 for AP formed by reciprocal of terms of HP series.

The HP series will be
150/9, 150/8,150/7,150/6,150/5,150/4,150/3,150/2,.....

Diff between 6th and 4th term will be
150/4-150/6 = 75/2-25 = 25/2=12.5

Is this solution Helpfull? Yes (3) | No   

RAVI KIRAN  (11 years ago)

@Hari priya..
Hi,where did u get these questions, TCS new patterns?

Is this solution Helpfull? Yes | No (6)  

AKANKSHA SINGH  (11 years ago)

a7=1/50, a5=1/30 in AP....by solving it v cn calculate a=3/50 and d=-1/150...dn a4=2/50 nd a6=4/150......nw calculate d diff b/w 50/2 nd 150/4...i.e.12.5......s0, d)12.5 is d ans..

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