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Sequences and Series question

2008 · Shift 2 · Q38

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PYQ Library
JEE Advanced
Mathematics
Sequences and Series
2008 · Shift 2 · Q38

Sequences and Series question

2008 · Shift 2 · Q38

JEE AdvancedMathematicsSequences and SeriesMCQ+3 / −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.

A
STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is a correct explanation for STATEMENT-1
B
STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is NOT a correct explanation for STATEMENT-1
C
STATEMENT-1 is True, STATEMENT-2 is False
D
STATEMENT-1 is False, STATEMENT-2 is True

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