The $ 4^{\text {th }} $ term of an $ \mathrm{HP} $ is $ \frac{3}{5} $ and the $ 8^{\text {th }} $ term is $ \frac{1}{3} $. Then its $ 6^{\text {th }} $ term is

JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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The

4^{\text {th }}

term of an

\mathrm{HP}

\frac{3}{5}

and the

8^{\text {th }}

term is

\frac{1}{3}

. Then its

6^{\text {th }}

term is

View answer and explanation

Correct option: B

\frac{3}{7}

Option B (

\frac{3}{7}

) is correct because the 6th term of the Harmonic Progression is calculated by finding the 6th term of the corresponding Arithmetic Progression and then taking its reciprocal.

More Questions from SEQUENCE OF SERIES

Practice All Chapter MCQs →

Given the sets

A=\{1,2,3\}, B=\{3,4\}, C=\{4,5,6\}

, then find the following
(i)

{A} \cup({B} \cap {C})

(ii)

A-(B \cap C)

(iii)

(B \cup C)-A

a,b,c

are in A.P.;

a,x,b

are in G.P. and

b,y,c

are in G.P., then

{x^2},{b^2},{y^2}

are in Suppose

P(x)=1-x+x^2-x^3+\ldots+x^{2012}

is expressed as a polynomial in

y

, as

Q(y)=a_0+a_1 y+\ldots+a_{2012} y^{2012}

where

y=x-2

, then

\sum\limits_{{i=0}}^{2012} a_i

equals If

\log \left(\frac{5 c}{a}\right), \log \left(\frac{3 b}{5 c}\right)

and

\log \left(\frac{a}{3 b}\right)

are in

A P

, where

a, b

and c are in

G P

, then

a, b, c

are the lengths of sides of If the sum of three numbers in G.P. is 63 and the product of the first and the second term is

\frac{3}{4}

of the third term, then the numbers are If the lengths of sides of a right angled triangle are in A.P., then their ratio is