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Old 2013-02-13, 15:45   #6
Raman
Noodles
 
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"Mr. Tuch"
Dec 2007
Chennai, India

3×419 Posts
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Okay. Enough is enough. These patterns are being quite popular enough.

Now, that if in case someone has got with enough strength, then he could be able to be
guessing into with these patterns.

What patterns? - guess please!

(1) (a)
3
53
753
0753
60753
660753
...

(b)
7
77
477
6477
46477
446477
...

(c)
1
71
471
8471
88471
288471
...

Hint: See what their own cubes end with!


(2) (a)
...761...
...2761...
...32761...
...932761...
...3932761...

(b)
...6403...
...56403...
...756403...
...7756403...

(c)
...23...
...223...
...4223...
...34223...
...534223...
...7534223...

Hint: Look at the last digits of 3[sup]5×10[sup]n+1[/sup][/sup],
7[sup]5×10[sup]n+1[/sup][/sup], 11[sup]5×10[sup]n+1[/sup][/sup].
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