Math miscellaneousHard
Question
If an = 
having n radical signs then by methods of mathematical induciton which is true
having n radical signs then by methods of mathematical induciton which is trueOptions
A.an > 7 ∀ n ≥ 1
B.an > 7 ∀ n ≥ 1
C.an < 4 ∀ n ≥ 1
D.an < 3 ∀ n ≥ 1
Solution
an = √7 < 7. Letem < 7. Then am + 1 = 
⇒ a2m+1 = 7 + am < 7 + 7 < 14
⇒ am+1 <
< 7 ; So an < 7 ∀ n ∴ an > 3
⇒ a2m+1 = 7 + am < 7 + 7 < 14 ⇒ am+1 <
< 7 ; So an < 7 ∀ n ∴ an > 3Create a free account to view solution
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