Saturday, October 10, 2015

Examples of Sequences That Show a List of the Powers of a Number

9/10/2015



Sequence Numbers:
Sequences That Show a List of the Powers of a Number
By David Brooks


Powers of Two (20, 21, 22, 23, etc.)
Our Sequence Number is 999,998
1/999998 =
0.
000001  000002  000004  000008 000016  000032  000064  000128  000256  000512  001024  002048 

Powers of Three (30, 31, 32, 33, etc.)
The Sequence Number is 999,997
1/999997 =
0.
000001  000003  000009  000027  000081  000243  000729  002187  006561  019683  059049  177147 

Powers of Four (40, 41, 42, 43, etc.)
The Sequence Number is 999.999,996
1/999999996 =
0.
000000001  000000004  000000016  000000064  000000256  000001024  000004096  000016384  000065536  000262144  001048576  004194304 

Powers of Five (50, 51, 52, 53, etc.)
The sequence number is 999,999,995
1/999999995 =
0.
000000001  000000005  000000025  000000125  000000625  000003125  000015625  000078125  000390625 

Powers of Six (60, 61, 62, 63, etc.)
The Sequence Number is 999,999,994
1/999999994 =
0.
000000001  000000006  000000036  000000216  000001296  000007776  000046656  000279936 001679616 

Powers of 7 (70, 71, 72, 73, etc.)
The Sequence Number is 999,999,993
1/999999993 =
0.
000000001  000000007  000000049  000000343  000002401  000016807  000117649  000823543  005764801  040353607 

Powers of Eight (80, 81, 82, 83, etc.)
The Sequence Number is 999999992.
1/999999992 =
0.
000000001  000000008  000000064  000000512  000004096  000032768  000262144  002097152  016777216  134217729 

Powers of 9 (90, 91, 92, 93, etc.)
The Sequence Number is 999,999,999,991.
1/999999999991 =
0.
000000000001  000000000009  000000000081  000000000729  000000006561  000000059049  000000531441  000004782969 

Powers of 13.
The Sequence Number is:
999,999,999,987
1/9999999999987 =
0.
000000000001  000000000013  000000000169  000000002197  000000028561  000000371293  000004826809  000062748517  000815730721  010604499373 

Powers of 17 (170, 171, 172, 173, etc.)
The Sequence Number is 999,999,999,999,983
1/999999999999983 =
0.
000000000000001  000000000000017  000000000000289  000000000004913  000000000083521  000000001419857  000000024137569  000000410338673  000006975757441  000118587876497  002015993900449  034271896307633 

New for 2016!!!  Powers of 2016 (20160, 20161, 20162, etc.)
The Sequence Number is 999,999,999,999,997,984.
1/999999999999997984 =
0.
000000000000000000000001  000000000000000000002016  000000000000000004064256  000000000000008193540096  000000000016518176833536  000000033300644496408576  000067134099304759689216 


David

2 comments:

  1. power of 14

    1/999999999999986 =


    0.000000000000001 000000000000014 000000000000196 000000000002744
    000000000038416 000000000537824 000000007529536 000000105413504
    000001475789056 000020661046784 000289254654976 004049565169664 ...

    ReplyDelete
  2. New for 2017!!! Powers of 2017

    1/9999999999999999999999997983 =


    0.0000000000000000000000000001 0000000000000000000000002017
    0000000000000000000004068289 0000000000000000008205738913
    0000000000000016550975387521 0000000000033383317356629857
    0000000067334151108322421569 0000135812982785486324304673 ...

    ReplyDelete