Sum of series - Determine the sum of the integers among the first 1000 positive integers which are not divisible by 4 or are not divisible by 9. (This is not an exclusive or)
Math Induction - Prove that 7^n - 6n - 1 is divisible by 36 for all positive integers n.
Discrete mathematics - Proper walk through of following proofs required ( for a better understanding )
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1) Prove that if n is an odd integer then n2 = 1 mod 8
2) Prove that 5n+3 is divisible by 4 for all intege ...
Discrete mathematics proof - (See attached file for full problem description)
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Let d,m and n be positive integers with m>1 and m≡ 1 (mod d), let
n= c0+mc1+m2c2+m3c3+…+mrcr
be the base=m expansion of n, and le ...