can anyone prove it..SIMPLE..

JEE Mains 2015 Coaching › Algebra questions › can anyone prove it..SIMPLE..

Given that n⁴<10ⁿ for a fixed positive integer nâ‰¥2, then prove that (n+1)⁴<10ⁿ⁺¹

#Mathematics #Algebra

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7 Answers

62

Lokesh Verma ·2009-01-18 22:15:48

hey if this is true for n..

then just substitute n+1 instead of n

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Honey Arora ·2009-01-18 22:18:10

I think it cn be proved by using PMI

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13

MAK ·2009-01-18 22:37:59

can v do lyk dis...!!!

n⁴<10ⁿ
=> log_nn < log₄10
=> log_n+1n+1 < log₄10

=> (n+1)⁴ < 10ⁿ⁺¹

correct me if i'm wrong...

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Ð”Ð²Ò¥Ñ—ÑuÏ now in medical c ·2009-01-18 22:41:11

nice one.. MAK

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prateek punj ·2009-01-19 01:55:29

but i agree with nishant bhaiya....
if it is true for n then it also true for n+1....

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MAK ·2009-01-19 02:01:28

how can v say it directly bhaiya...?

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prateek punj ·2009-01-19 02:12:14

we do the same in mathematical induction...

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Your Answer

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