perhaps you can work with series approximation such as ...i'm not sure of your question though..
Could anyone please help? How do you get the answer to 3 to the 10000th power (3^10000)?
Problem:
After figuring out 3^10000, I need to add up all its digits and thus obtain a new number. Then I need to add up the digits of this new numbers and obtain another number. I need to continue doing this until eventually I get a single digit number.
Do I have to know the full set of 3^10000 number to end up with the single digit number after the above process?
thanks for helping.
hongvo
Instead of attempting to look at , try the same problem with for some values of n that are much smaller than 10000. For example, if n = 3, then , and the digits of 27 add up to 9. Do a few experiments with other small values of n and see if you start to see a pattern. Then ask yourself why this pattern should apply to big values of n like n = 10000.
Hi, thx for the tip but I've not been taught how to use the 'sigma' sign. Here I'll try to explain my question:
Let say
3^10000 = abcdabcdabcdabcdabcdabcd.....
then a+b+c+d+a+b+c+d+a+b+c+d+a+b+c+d+a+...... = defghijklmn......
then d+e+g+h+i+j+k+l+m+n+.............= pgrstu.....
then p+q+r+s+t+u+.........=wxyz..
then w+x+y+z+....= ABC
then A+B+C= X (where X is a single digit number)
I have to find X.
Hope this is clear. Thx again.