9 * 1     =   09          and also 0  + 9 =  9
9 * 2     =   18          and also 1  +  8 =  9
9 * 3     =   27          and also 2  + 7 =  9
9 * 4     =   36          and also 3  + 6 =  9
9 * 5     =   45          and also 4  + 5 =  9
9 * 6    =   54          and also 5  + 4 =  9
9 * 7     =   63          and also 6  + 3 =  9
9 * 8     =   72          and also 7  + 2 =  9
9 * 9     =   81          and also 8  + 1 =  9
9 * 10 =  90          and also 9  + 0 = 9
After 10, 11 would give 18 and  onwards to 12 same formula would be applied.
9 * 11   =  99            and also     9    +       9 =   18
9 * 12   =  108          and also 1  + 0  +  8 =  9
9 * 13   =  117          and also  1  + 1  + 7 =  9
9 * 14   =  126          and also  1  + 2  + 6 =  9
9 * 15   =  135          and also  1  + 3  + 5 =  9
9 * 16   =  144          and also  1  + 4  + 4 =  9
9 * 17   =  153          and also  1  + 5  + 3 =  9
9 * 18   =  162          and also  1  + 6  + 2 =  9
9 * 19   =  171          and also   1  + 7  + 1 =  9
9 * 20  =   180          and also  1  + 8  + 0 = 9
After 20, 21 and 22 would give 18. Onwards to 23 same formula would be applied.
Same pattern would go up to infinity. It is amazing and math is elegant as art and sophisticated as science.
Thursday, April 22, 2010
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table is interesting but the line after 10 is wrong because 9+9=9 is not true ....farhan rafique
ReplyDeleteI have made correction and also this pattern of 18 increases after each ten. It gives 18 for 9*21 = 189 and 9*22 = 198. For 31,32 and 33 also. And 4 times in forties. I would try to derive a formula for this pattern.
ReplyDeleteThanks for pointing out this.