Consider a rst-order difference equation: H+1=a+o.t=[i,1,2,. where c and i; are some known constants. and t is a time index. Sonsider the following...

First-order difference equation. I'm not sure about the theory. Please help.

Consider a first-order difference equation:H+1=afl+o.t=[i,1,2,.... where c and i; are some known constants. and t is a time index.Sonsider the following two statements. Statement 1: When o. r: 1. the sequence 1*; always converges to some finite constant as :goes to infinity. Statement 2: When a. r.» 1. the sequence 1; always diverges to infinity as t goes to infinity. Please select the correct option from below. Select one: if} a. Bath statements are correct.if) h. Statement 1 is correct, but Statement 2 is wrong.(:1 c. Both statements are wrong. d. Statement 1 is wrong. but Statement 2 is correct.