Question 54
The first number of a sequence of six numbers is $4$ and the last one is $47$. Every number from the third one on (inclusive) equals the sum of the previous two numbers. Let $S$ be the sum of all six numbers of the sequence. Then $S$ lies in the interval between
(A) $51$ and $90$
(B) $91$ and $100$
(C) $101$ and $110$
(D) $111$ and $120$
(E) $121$ and $160$
(A) $51$ and $90$
(B) $91$ and $100$
(C) $101$ and $110$
(D) $111$ and $120$
(E) $121$ and $160$