Question #16642

Evaluate the following with explanation:
A. 11^2012 mod 10
B. 29^205 mod 10
C. â‡©â‡©â‡©
20
Σ x!mod 5
x=1
D. Draw diagram for the following relation aRb iff a is congruent to b mod 3 on the set {0,1,2,3,4,5}
E. â‡©â‡©â‡©
5
Σ n(n!)
i=1
F.â‡©â‡©â‡©
5
Σ i^3
i+1
G. Show that the sum of consecutive positive integers is equal to n/2(n+1),∀n∈ N.

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