assume a sequence "new fibbonaci" if it fullfills that the first and the second number is 1 , and the next number is the sum of the squares of the previous two number
example of the first few series are 1 , 1 , 2 , 5 , 29 , .....
find the remainder when the 10-th term is divided by 10.
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Basically only the units digit has to be found so find the square of the units digit of both number and keep adding Like 2 give a 4 at its units place 5 gives a 5 at its units place 4+5=9 9 gives a 1 at its units place 1+5=6 6 gives a 6 at its units place 6+1=7 7 gives 9 at its units place 9+6=5 Only units digit required 5 gives a 5 at its units place 5+9=4 4 gives a 6 at its units place 6+5=1 1 is at the units place for the tenth observation therefore 1 is the remainder for the tenth observation divided by ten