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AIEEE 2002
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
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If $${a_n} = \sqrt {7 + \sqrt {7 + \sqrt {7 + .......} } } $$ having $$n$$ radical signs then by methods of mathematical induction which is true
A
$${a_n} > 7\,\,\forall \,\,n \ge 1$$
B
$${a_n} < 7\,\,\forall \,\,n \ge 1$$
C
$${a_n} < 4\,\,\forall \,\,n \ge 1$$
D
$${a_n} > 3\,\,\forall \,\,n \ge 1$$
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