Calculate using the square difference formula (1-1/2 to the second power)(1-1/3 to the second power)(1-1/4 to the square)...(1-1/99 to the square)(1-1/100 to the square)

Calculate using the square difference formula (1-1/2 to the second power)(1-1/3 to the second power)(1-1/4 to the square)...(1-1/99 to the square)(1-1/100 to the square)

Original formula
=(1-1/2)(1+1/2)(1-1/3)(1+1/3)(1-1/4)(1+1/4)…… (1-1/100)(1+1/100)
=(1/2)(3/2)(2/3)(4/3)(3/4)(5/4)…… (99/100)(101/100)
=(1/2)(101/100)(Approx. in the middle)
=101/200

It is calculated by a simple method:(2+1)(2+2+1)(2+4+1)... (2 To the 32nd power +1)+1 It is calculated by a simple method:(2+1)(2+1)(2+4+1)... (2 To the 32nd power +1)+1

Using the square difference, my process is shown in Figure


A friend asking questions on the phone comments at the top right corner of the client, and then can choose [Satisfied, problem solved]

Using the square difference, my process is shown in Figure


A friend asking questions on the phone comments in the upper right corner of the client, and then can choose [Satisfied, problem solved]

Using the square difference, my process is shown in Figure


A friend asking questions on the phone comments in the upper right corner of the client, and then can choose [Satisfied, the problem]