Let x1, x2,…x50 be fifty nonzero numbers such that xi + xi + 1 = k for all I, 1 ≤ I ≤ 49. If x14 = a, x27 = b then x20 + x37 equals
a) 2 (a + b) – k
b) k + a
c) k + b
d) None of the foregoing expressions
Ans: a) 2 (a + b) – k
x1 + x2 = x2 + x3 = x3 + x4 = ….. = x49 + x50 = k
