b) 21315η - 1= Σακ(π) κ. ΚΣΟ (n)2+(ηλι+6= Σάκη

Q: find all integers n>1 such that 1^n+2^n+.....+(n-1)^n is divisible by n.

A:

Q: Prove that 7^n − 1 is a multiple of 6 for all n ∈ N. ( N is Natural Number)

A: Advance maths

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A:

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A:

Q: Example/Find the nth-term of the following: 1 2 3 4 5 5'7'9'11'13' a) b) 2 4 8 16 32 0! 1!'2! 3!' 4!…

A: To find the n th term of given sequence.

Q: Value of the 7th term in (2x + y)"?

A: Follow the procedure given below.

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Q: Find the least residue of  -5 -46 modulo 14.

A:

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A:

Q: n factorial

A:

Q: Let k be an positive integer. Prove that k(7k^2 + 5) + 6 is divisible by 6

A: Let k be an positive integer. Prove that k(7k^2 + 5) + 6 is divisible by 6

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A:

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A:

Q: find the 100th term of 1, 3, 9,...

A: Our aim is to find the 100th term of 1 , 3 , 9,......

Q: If a and b are integers with gcd(a, b) = d Then a gcd %3D -1

A: False.

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A: The solution is given below:

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A:

Q: One of the striking properties of Fibonacci numbers is that gcd(Fm, Fn) = Fd, (*) where d = gcd (m,…

A: 1. We see,        F9 = 34    [Fibonacci series : 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89,. . . . . ]…

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A:

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A:

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A:

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A: Evaluate order of 4 modulo 49.

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A:

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A:

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A:

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A: Prove that if 10|n, then 10|n^2+n

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A: Please check step 2 for the solution.