A simple algorithm of 1 / 9 {1 / 7 [1 / 5 (x + 2 / 3 + 4) + 6] + 8} = 1 RT,1/9{1/7[1/5(X+2/3+4)+6]+8}=1 A simple and convenient algorithm for solving the problem

A simple algorithm of 1 / 9 {1 / 7 [1 / 5 (x + 2 / 3 + 4) + 6] + 8} = 1 RT,1/9{1/7[1/5(X+2/3+4)+6]+8}=1 A simple and convenient algorithm for solving the problem


1/9{1/7[1/5(X+2/3+4)+6]+8}=1
Double 9
1/7[1/5(X+2/3+4)+6]+8=9
1/7[1/5(X+2/3+4)+6]=1
Double 7
1/5(X+2/3+4)+6=7
1/5(X+2/3+4)=1
Multiply by 5 on both sides
X+2/3+4=5
X+2/3=1
Multiply by three on both sides
X+2=3
X=1



1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 is the simplest algorithm
I forgot to use the equation


Sn = (a1 + an) * n * D / 2, D is the tolerance (the difference between two adjacent numbers), A1 is the first term, an is the last term, and N is the number of terms
This is an arithmetic sequence



(+ 2,31 / 8) * (- 1,7 / 2) * (+ 2,15 / 1) * (- 4,2 / 1) simple algorithm
A simple algorithm for (+ 2 + 8 / 31) * (- 1 + 2 / 7) * (+ 2 has 1 / 15) * (- 4 + 1 / 2)


=(31/70*15/31)*(7/9*4/9)
=3/14*28/81
=2/27
=13 and 2 / 1



1 / 2 + 3 / 4 + 7 / 8 + 15 / 16 + 31 / 32 + 63 / 64 + 127 / 128 =? Simple algorithm


1/2+3/4+7/8+15/16+31/32+63/64+127/128
=1*64/128 + 3*32/128 + 7*16/128 + 15*8/128 + 31*4/128 + 63*2/128 + 127/128
=(64+69+112+120+124+126+127)/128
=752/128
=5.875