1800-212-7858 (Toll Free)
9:00am - 8:00pm IST all days
8104911739

or

Thanks, You will receive a call shortly.
Customer Support

You are very important to us

022-62211530

Mon to Sat - 11 AM to 8 PM

# pl prove this induction quest

Asked by Kirandoon 27th August 2008, 9:53 PM

if n=1 then 52+4.6 = 49 when divided by 20 , remainder is 9 i.e. true for n=1

for n=2 , 53+4.62 = 269 divide by 20 leaves remainder 9, true for n=2

let us assume it is true for n=N i.e. 5N+1 + 4. 6N leaves remainder 9 when divided by 20

now we have to show that it is true for n=N+1

5N+2 + 4. 6N+1 = 5.5N+1+24 . 6N = 5N+1 + 4. 6N+ 20.6N + 4.5N+1 = 5N+1 + 4. 6N+ 20(6N + 5N )

here 20(6N + 5N ) is divisible by 20, so we are left with 5N+1 + 4. 6N which leaves remainder 9 when divided by 20 which is true by our hypothesis.

so this statement is true for all n.

Answered by Expert 11th September 2008, 10:58 PM
• 1
• 2
• 3
• 4
• 5
• 6
• 7
• 8
• 9
• 10

You have rated this answer /10

### Free related questions

20th April 2017, 8:17 AM
26th April 2017, 8:00 AM
RELATED STUDY RESOURCES :