IIT-JEE 1998 | Sequences and Series Question 47 | Mathematics

IIT-JEE 1998

MCQ (Single Correct Answer)

-0.5

Let $$n$$ be an odd integer. If $$\sin n\theta = \sum\limits_{r = 0}^n {{b_r}{{\sin }^r}\theta ,} $$ for every value of $$\theta ,$$ then

$${b_0} = 1,\,b = 3$$

$${b_0} = 0,\,{b_1} = n$$

$${b_0} = - 1,\,{b_1} = n$$

$${b_0} = 0,\,{b_1} = {n^2} - 3n + 3$$

IIT-JEE 1994

MCQ (Single Correct Answer)

-0.5

If $$In\left( {a + c} \right),In\left( {a - c} \right),In\left( {a - 2b + c} \right)$$ are in A.P., then

$$a,\,b,\,c$$ are in A.P.

$${a^2},\,{b^2},\,{c^2}$$ are in A.P.

$$a,\,b,\,c$$ are in G.P.

$$a,\,b,\,c$$ are in H.P.

IIT-JEE 1990

MCQ (Single Correct Answer)

-0.5

The number $${\log _2}\,7$$ is

an integer

a rational number

an irrational number

a prime number

IIT-JEE 1988

MCQ (Single Correct Answer)

-0.5

Sum of the first n terms of the series $${1 \over 2} + {3 \over 4} + {7 \over 8} + {{15} \over {16}} + ............$$ is equal to

$${2^n} - n - 1$$

$$1 - {2^{ - n}}$$

$$n + {2^{ - n}} - 1$$

$${2^n} + 1$$

JEE Advanced Subjects