JEE Advanced 2016 Paper 2 Offline | Sequences and Series Question 16 | Mathematics

JEE Advanced 2016 Paper 2 Offline

MCQ (Single Correct Answer)

-1

Let b_i > 1 for I = 1, 2, ......, 101. Suppose log_eb₁, log_eb₂, ......., log_eb₁₀₁ are in Arithmetic Progression (A.P.) with the common difference log_e2. Suppose a₁, a₂, ......, a₁₀₁ are in A.P. such that a₁ = b₁ and a₅₁ = b₅₁. If t = b₁ + b₂ + .... + b₅₁ and s = a₁ + a₂ + ..... + a₅₁, then

s > t and a₁₀₁ > b₁₀₁

s > t and a₁₀₁ < b₁₀₁

s < t and a₁₀₁ > b₁₀₁

s < t and a₁₀₁ < b₁₀₁

IIT-JEE 2012 Paper 2 Offline

MCQ (Single Correct Answer)

-1

Let $${a_1},{a_2},{a_3},.....$$ be in harmonic progression with $${a_1} = 5$$ and $${a_{20}} = 25.$$ The least positive integer $$n$$ for which $${a_n} < 0$$ is

IIT-JEE 2009 Paper 2 Offline

MCQ (Single Correct Answer)

-1

If the sum of first $$n$$ terms of an A.P. is $$c{n^2}$$, then the sum of squares of these $$n$$ terms is

$${{n\left( {4{n^2} - 1} \right){c^2}} \over 6}$$

$${{n\left( {4{n^2} + 1} \right){c^2}} \over 3}$$

$${{n\left( {4{n^2} - 1} \right){c^2}} \over 3}$$

$${{n\left( {4{n^2} + 1} \right){c^2}} \over 6}$$

IIT-JEE 2008 Paper 2 Offline

MCQ (Single Correct Answer)

-1

Suppose four distinct positive numbers $${a_1},\,{a_{2\,}},\,{a_3},\,{a_4}\,$$ are in G.P. Let $${b_1} = {a_1},{b_2} = {b_1} + {a_2},\,{b_3} = {b_2} + {a_{3\,\,}}\,\,\,and\,\,\,{b_4} = {b_3} + {a_4}$$.

STATEMENT-1: The numbers $${b_1},\,{b_{2\,}},\,{b_3},\,{b_4}\,$$ are neither in A.P. nor in G.P. and

STATEMENT-2 The numbers $${b_1},\,{b_{2\,}},\,{b_3},\,{b_4}\,$$ are in H.P.

STATEMENT-1 is True, STATEMENT-2 is True;
STATEMENT-2 is a correct explanation for
STATEMENT-1

STATEMENT-1 is True, STATEMENT-2 is True;
STATEMENT-2 is NOT a correct explanation for
STATEMENT-1

STATEMENT-1 is True, STATEMENT-2 is False

STATEMENT-1 is False, STATEMENT-2 is True

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