The nth term of a sequenceis the first non-zero digitof the decimal expansion of 1/sqrt(n).
How many of the first one millionterms of the sequence are equal to 1?
1 + 75 + 7500 + 750000 = 757576.
Inequality (1) gives 1/4 < n ≤ 1.
Inequality (2) gives 25 < n ≤ 100.
Inequality (3) gives 2500 < n ≤ 10000.
Inequality (4) gives 250000 < n ≤ 1000000.
Adding up the number of integersin each solution set gives the total number of solutions as
1 + 75 + 7500 + 750000 = 757576.
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