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Answer this question *WITH EXPLANATION*.
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Answered by
7
Hello friend...!!
• the answer is option A
• if ' n ' is any natural number then,
( 6^n - 5^n ) ends with 1 .
• to prove it, take n = 1 ,then we get
( 6 - 5) = 1 ,
Now substitute n = 2 , we get
(36-25)= 11 where it ends with 1 .
Now substitute n=3 We get
(216-125) = 91 where it ends with 1 .
There fore the answer is option A.
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Hope it is useful...!!
• the answer is option A
• if ' n ' is any natural number then,
( 6^n - 5^n ) ends with 1 .
• to prove it, take n = 1 ,then we get
( 6 - 5) = 1 ,
Now substitute n = 2 , we get
(36-25)= 11 where it ends with 1 .
Now substitute n=3 We get
(216-125) = 91 where it ends with 1 .
There fore the answer is option A.
----------------------------------------
Hope it is useful...!!
rohitkumargupta:
nice di
because the last number in 6 power any number is 6 and the last number in 5 power any thing is 5 just try it so the answer will always be 1
Thanks : )
Your welcome :)
This is not the right way to prove this , you should make it more general.
Answered by
3
Hey !!!
Here is ur solution :-
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Actually, I think this is easy one you can also calculate simply.
let us look what is the always end term if n is a natural no. then 6^n - 5^n ends with ??? we don't know .
As you know natural no. means. 1 , 2 , 3, 4, 5, 6...
so on infinity.
in condition (1 )
then, 6^n - 5^n = 6^1 - 5^1 = 6 -5 = 1
in condition (2)
6^n - 5^n = 6^2 - 5^2 = 36 - 25 = 11
in 3rd condition
6^n - 5^n = 6^3 - 5^3 = 216 - 125 = 91
⚠ in these three condition we saw in the end term 1 is unit digit and that's why all term is end with 1
Since option a ) 1 is correct option .
*************************************
Hope it doesn't help you !!!☺
@Rajukumar111
Here is ur solution :-
--------------------------
Actually, I think this is easy one you can also calculate simply.
let us look what is the always end term if n is a natural no. then 6^n - 5^n ends with ??? we don't know .
As you know natural no. means. 1 , 2 , 3, 4, 5, 6...
so on infinity.
in condition (1 )
then, 6^n - 5^n = 6^1 - 5^1 = 6 -5 = 1
in condition (2)
6^n - 5^n = 6^2 - 5^2 = 36 - 25 = 11
in 3rd condition
6^n - 5^n = 6^3 - 5^3 = 216 - 125 = 91
⚠ in these three condition we saw in the end term 1 is unit digit and that's why all term is end with 1
Since option a ) 1 is correct option .
*************************************
Hope it doesn't help you !!!☺
@Rajukumar111
*Hope it doesn't help you*???
Indeed this helped me bhai
This is not the right way to prove this :Try to make it in more generalised form!
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