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The 1025th term of the sequence
1, 22, 4444, 88888888, ..... is
1st of all let's see the no. of repetitions (peculiar case ;digits) in each term
they are as follows :
1,2,4,8 and so on.....
this clearly makes a g.p.
so now the 1025 th term has 2^1024 repititions
and now removing the repititions we see the series as :
1,2,4,8.... and so on
this also makes a g.p.
so the 1025 th term is 2^1024 in this series
so the final ans. is 2^1024 repeated 2^1024 times....
an easy explaination is that
1 is repeated 1 time , 2 is repeated 2 time, 4 is repeated 4 times and so on....
pls. approve the ans.
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