In a certain sequence, the first term is 5, and each successive term is 1 more than the reciprocal ...
In a certain sequence, the first term is 5, and each successive term is 1 more than the reciprocal of the term that immediately precedes it. What is the fifth term in this sequence?
Answer/Solution
28/17
Steps/Work
let five terms in the sequence be a,b,c,d,e
a=5
b= 1+1/5=6/5
c=1+5/6= 11/6
d= 1+6/11 = 17/11
e= 1+11/17 = 28/17
hence answer should be E.
a=5
b= 1+1/5=6/5
c=1+5/6= 11/6
d= 1+6/11 = 17/11
e= 1+11/17 = 28/17
hence answer should be E.