Question

check whether 7n can end with the digit 0 for any natural number n

Answer 1

Answer:

7ⁿ can not end with 0

Step-by-step explanation:

check whether 7n can end with the digit 0 for any natural number n

7n will end with zero for all n ending with 0

7* 10 = 70  , 7 * 20 = 140  & so on

but actual question should be

whether 7ⁿ can end with the digit 0 for any natural number n

n = 0     7⁰ = 1

n=1        7¹ = 7

n = 2     7² = 49

n = 3     7³ = 343

n = 4     7⁴ = 2401

7⁴ ends with 1  

number ending with 1 multiplied by any number  ends with the number multiplied ending with

n = 4a , 4a +1  , 4a + 2 , 4a + 3

7ⁿ end with 7⁴ᵃ   or 7¹*7⁴ᵃ  or 7²*7⁴ᵃ  or 7³*7⁴ᵃ

7⁴ᵃ end with 1

7¹*7⁴ᵃ end with 7

7²*7⁴ᵃ end with 9

7³*7⁴ᵃ end with 3

=> 7ⁿ can end with 1 , 3 , 7 or 9

=>  7ⁿ can not end with 0

Answer 2

ANSWER

This is most helpfull for you

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