Let S be a sequence of the form `[K(1), K(2),....K(m)]`. Each term can be defined by the following four functions :
`P[K(x)]=3Q[K(x)]-4`
`Q[K(x)]=2R[K(x)]+R[K(2x)]`
`R[K(x)]=S[K(2x)]-S[K(x)]`
`S[K(x)]={{:(0 if xlt0),(3x+4 if 0 le x le 6),(4x+3 if x gt 6):}`
Also if `Q[K(x)]=y` then `PQ[K(x)]=P[K(y)]`
What is the value of of `sum_(x=-oo)^(+oo)R[K(x)]`
`sum_(4)^(x=1)R[K(x)]=R[K*(1)]xxR[K(2)]xxR[K(3)]xxR[K(4)]`?

Options

A. `-1
B. 0
C. 1
D. none of these

Answer

B