Math, asked by karthikeyan159, 9 months ago

if n is any natural number then 6^n-5^2 always end with​

Answers

Answered by ItzAditt007
4

\huge{\mathcal{\blue{\underline{\underline{\pink{HeYa!!!}}}}}}

{\large{\purple{\mathbb{ANSWER}}}}

{\small{\red{\boxed{Always\:\:end\:\:with\:\:1}}}}

<marquee>EXPLANATION</marquee>

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

{\large{\blue{\boxed{=\:\:1}}}}

n = 2.

=》 6² - 5²

= 36 - 25.

{\large{\blue{\boxed{=\:\:11}}}}

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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