Can the number 6 n end with 5
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Can the number 6 n end with 5
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WebApr 9, 2024 · Best answer Solution: If 7n has to end with the digit 0 for any natural number n, then it has to be divisible by 10. ie. its prime factorisation should have the factors of both 2 and 5 [ since 10=2x5 ] But we know that 7=7x1 By the fundamental theorem of arithmetics, we also know that there exist no other factors for 7. WebIn order to check whether 6n can end with the digit 0 for any natural number n, let us find the factors of 6. It’s seen that the factors of 6 are 2 and 3. \begin{aligned} &\text { So, } 6^{n}=(2 \times 3)^{n}\\ &6^{n}=2^{n} \times 3^{n} \end{aligned} Since, the prime factorization of 6 does not contain 5 and 2 as its factor, together. We can ...
WebCan the number 6 n, n being a natural number, end with the digit 5? Give reasons Solution: No, Here 6 n = (2 × 3) n = 2 n × 3 n , 2 and 3 are the only primes in the … WebGiven, 6 n where n is a natural number. Now, 6 n = 2 n × 3 n. For any number ending with 5 the prime factor 5 should be there in its prime factorisation. But, 6 n has only 2 and 3 …
WebThat is, if 6 n ends with the digit 0, then the prime factorisation of 6 n would contain the prime number 5. We can clearly observe, 5 is not present in the prime factors of 6 n. … WebMar 27, 2024 · Solution For 5. Check whether 6n can end with the digit 0 for any natural number n.
WebNow, n 2 and n with end with same digit if b divides a 0 2 − a 0 = a 0 ( a 0 − 1) If a 0 = 0, b always divides a 0 ( a 0 − 1), hence n 2 will end with 0 if n ends with 0. A little generalization : Observe that ( a 0, a 0 − 1) = 1. If b is prime like 5, 7 or power of prime like 2 3 = 8, 3 2 = 9, so. either b ∣ a 0 a 0 = 0 as 0 ≤ a 0 < b.
WebJun 10, 2024 · 6¹ - 5¹ = 6 -5 = 1 ends with 1 take n = 3 6³ - 5³ = (6 -5) (6² + 5² + 6×5) = 11 × ( 36 +25 +30) = 11 × 91 ends with 1 ,.................. ................ hence, if we take n Is an odd number then 6^n - 5^n also ends with 1. now , by case1: and case2: we conclude that 6^n -5^n ends with 1 when n is a natural number . so, option (a ) is correct . spotted gum hard or soft woodWebNo, the number 6 n can not end with the digit 5, whenever n is a natural number. Observe that whenever two digits that ends with 6 are multiplied then the obtained … spotted gum tongue and grooveWebIn simple words, a number with 4-digits is a 4 digit number. The first digit of a 4-digit number should be 1 or greater than one and the remaining digits can be any number from 0 to 9. Four-digit numbers start from 1000 and end at 9999. The place values in a 4 digit number, starting from the right, are ones, tens, hundreds, and thousands. shenmue 2 ignWebJun 1, 2013 · 6n=2n x 3n For any no: ending with 5 the prime factor 5 should be there in its primefactorisation (for eg: 5=5,15=3x5,25=5x5 , in all these 5 is a necessary prime no:) … spotted gum treeWeb6^n (n Natural number) always ends with 6. (6^1=6, 6^2=36,6^3=216,6^4=1296 etc. all end with 6). 6 is an even number, 6^n will also be even. It can't end with 5. Sanjay C. Carl … spotted gum lining boardsWebIf n is any natural number, then 6 n − 5 n always ends with (a) 1 (b) 3 (c) 5 (d) 7 [Hint: For any n ∈ N, 6 n and 5 n end with 6 and 5 respectively. Therefore, 6 n − 5 n always ends with 6 − 5 = 1.] Solution We know that will end in 6 And will end in 5. Now, always end with Hence the correct choice in (a). Suggest Corrections 9 Similar questions Q. spotted gum shiplap boardsWeb2 days ago · Position your feet and angle it up toward your bodies to keep a steady stream of cool air going. Stand with your back to your partner, then bend over slowly and put … shenmue 2 release year