Given the sequence #a_0=1,a_1=2, a_(k+1)=a_k+(a_(k-1))/(1+a_(k-1)^2), k > 1# for what value of #k# occours #52 < a_k < 65# ?
I used an Excel spreadsheet.
I used column A for my value of k. I entered 0 in cell A1 and I entered =A1+1 in cell A2; this will give me a column of integers incremented by 1 as I copy and block paste the column.
I used column B for my value of
The first value of k where
The last value of k where