Σ{∞,n=1} ½ⁿ counting // Count to 1 II

[rigid inlet]

start at 0. add half (1/2), then add half of half (1/4), repeat to infinity
0
1/2 (+1/2)
3/4 (+1/4)
7/8 (+1/8)

[novel scroll]

To infinity

0

[wraith canopy]

c!calc (2^1-1)/(2^1)

[graceful imp]

(2^1-1)/(2^1) = 0.5

[novel scroll]

That is more confusing than using fractions

3/4

[rigid inlet]

7/8

[novel scroll]

15/16

[rigid inlet]

c!calc 31/32

[graceful imp]

31/32 = 0.96875

[novel scroll]

How does that help

[novel scroll]

63/64

[wraith canopy]

c!calc 127/128

[graceful imp]

127/128 = 0.9921875

[novel scroll]

255/256

[wraith canopy]

c!calc 511/512

[graceful imp]

511/512 = 0.998046875

[novel scroll]

1023/1024

[wraith canopy]

c!calc 2047/2048

[graceful imp]

2047/2048 = 0.99951171875

[novel scroll]

4095/4096

[wraith canopy]

c!calc 8191/8192

[graceful imp]

8191/8192 = 0.9998779296875

[graceful imp]

8192*2 = 16384

[novel scroll]

16383/16384

[wraith canopy]

c!calc 32767/32768

[graceful imp]

32767/32768 = 0.999969482421875

[novel scroll]

65535/65536

[rigid inlet]

131071/131072

[novel scroll]

262143/262144

[jovial gate]

262144*2 = 524288

[wraith canopy]

c!calc 524287/524288

[graceful imp]

524287/524288 = 0.9999980926513672

[novel scroll]

1048575/1048576

[wraith canopy]

c!calc 1-1/2^21

[graceful imp]

1-1/2^21 = 0.9999995231628418