Q:

Consider the sequence: 5, 7, 11, 19, 35,....Write an explicit definition that defines the sequence: a_n = 2n + 3a_n = 3n + 2a_n = 3n^2a_n = 2^n + 3

Accepted Solution

A:
Answer:   a_n = 2^n + 3Step-by-step explanation:The first differences have a geometric progression, so the explicit definition will be an exponential function. (It cannot be modeled by a linear or quadratic function.) The above answer is the only choice that is an exponential function.__First differences are ...   (7-5=)2, 4, 8, 16