∑i=1q(i) =n2(n+ 1).for which choice ofq(i) will in-duction work? (a) 3i2−2(b) 2i2(c) 3i3−i(d)i(3i−1)(e) none of the . definerto be the binary relation onnsuch thatnrmiff√n·m≥nris a symmetric relation relation(a) true(b) . definerto be the binary relation onzsuch thatnrmiff√n·m≤n. ris an equivalence relation(a) true(b) . suppose thata≡4 mod 7 andb≡6 mod 7findcwith 0≤c≤6 such thatc≡2a+ 4bmod 7(a) 1(b) 7(c) 0(d) none of the . leta, b,c∈zsuch thata|(b+c) andb|cthena|c(a) true(b) .∀n∈{1,2,},1 + 3 + 9 + 27 ++ 3n=−1−3n+12(a) true(b) . does 3|(n3+ 3n2+ 2n) for alln∈n? (a) true