JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Easy

1 of 1

Application +4 | -1

Let

A_r, r=1,2, \ldots .29

be arithmetic means between

303

and

-57

where

A_r>A_{r+1} \, \forall \,r=1,2, \ldots 28

. If

S

be the sum of these means, then the value of

\left[\frac{S}{\left(A_{14}-12\right)\left|A_r\right|_{\text {min. }}}\right]

\left[[k]\right.

denotes greatest integer less than or equal to

k

and

\left|A_r\right|_{\min }

. denotes the minimum value of

\left.\left|A_r\right| \cdot\right.

View answer and explanation

Correct option: A

Option A (9) is correct because the arithmetic means are calculated, and the expression involving the sum and minimum absolute value is evaluated to find the greatest integer less than or equal to the result.

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