MathDB

linear Sequence

Source:

August 9, 2012

inductionnumber theory proposednumber theory

Problem Statement

Let there be an infinite sequence

a_{k}

with

k\geq 1

defined by:

a_{k+2} = a_{k} + 14

and

a_{1} = 12

a_{2} = 24

.
a) Does

2012

belong to the sequence? b) Prove that the sequence doesn't contain perfect squares.