What is the value of (2(2(2(2(2(2+1)+1)+1)+1)+1)+1)?
(A)
70
(B)
97
(C)
127
(D)
159
Solution — click to reveal
Notice this is the term a6 in a recursive sequence, defined recursively as a1=3,an=2an−1+1. Thus: a2=3⋅2+1=7.a3=7⋅2+1=15.a4=15⋅2+1=31.a5=31⋅2+1=63.a6=63⋅2+1=127