WB JEE 2008 | Sequence and Series Question 5 | Mathematics

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WB JEE 2008

MCQ (Single Correct Answer)

-0.25

If three real numbers a, b, c are in Harmonic Progression, then which of the following is true?

$${1 \over a},b,{1 \over c}$$ are in A.P.

$${1 \over {bc}},{1 \over {ca}},{1 \over {ab}}$$ are in H.P.

ab, bc, ca are in H.P.

$${a \over b},{b \over c},{c \over a}$$ are in H.P.

WB JEE 2008

MCQ (Single Correct Answer)

-0.25

The sum of the infinite series $${\left( {{1 \over 3}} \right)^2} + {1 \over 3}{\left( {{1 \over 3}} \right)^4} + {1 \over 5}{\left( {{1 \over 3}} \right)^6} + ...$$ is

$${1 \over 4}{\log _e}2$$

$${1 \over 2}{\log _e}2$$

$${1 \over 6}{\log _e}2$$

$${1 \over 4}{\log _e}{3 \over 2}$$

WB JEE 2009

MCQ (Single Correct Answer)

-0.25

If a, b, c are G.P. (a > 1, b > 1, c > 1), then for any real number x (with x > 0, x $$\ne$$ 1) log_ax, log_bx, log_cx are in

G.P.

A.P.

H.P.

G.P. but not in H.P.

WB JEE 2009

MCQ (Single Correct Answer)

-0.25

If three positive real numbers a, b, c are in A.P. and abc = 4 then the minimum possible value of b is

2^3/2

2^2/3

2^1/3

2^5/2

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