if n is any natural number then 6^n-5^2 always end with
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☆ Given:-
- 6^n - 5^n
{Since 6^n - 5² cant be correct}
So we know that for any power of 6 and 5 the resulted number will always end with 6 and 5 respectively and 6-5 is always equal to 1.
☆ Now,
Let us put any value in the place of n.
For example let us take,
• n = 1.
=》 6¹ - 5¹
= 6 - 5
• n = 2.
=》 6² - 5²
= 36 - 25.
Which is also ends with once.
Therefore we can say that for any value of n 6^n - 5^n will always ends with 1.
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