JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Easy

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Analyzing +4 | -1

The sum of the first three terms of a G.P.is

S

and their product is 27. Then all such

S

lie in

View answer and explanation

Correct option: A

(-\infty,-3] \cup[9, \infty)

Option A

((-\infty,-3] \cup[9, \infty))

is correct because it represents the range of possible values for the sum

S

based on the properties of the geometric progression and the AM-GM inequality.

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

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

A-(B \cap C)

(B \cup C)-A

a,b,c

a,x,b

b,y,c

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

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

y

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y=x-2

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

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

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

A P

a, b

G P

a, b, c

\frac{3}{4}