There is a unique sequence of positive numbers that starts with the number 1 at the(adsbygoogle = window.adsbygoogle || []).push({});

first position and has the following properties.

• Each value in the sequence is greater than or equal to every value that appears

earlier in the sequence.

• If the value at position k in the sequence is m, then the number k appears exactly m times in the sequence.

The first few numbers in this sequence are

Position : 1 2 3 4 5 6 7 8 9 10 11 12 · · · Sequence value : 1 2 2 3 3 4 4 4 5 5 5 6 · · ·

Notice, for instance, that the value at position 4 in the sequence is 3, so 4 itself appears 3 times in the sequence.

What is the value that appears at each of the following positions in this sequence?

(a) 411 (b) 1000 (c) 1245

-------------Akash

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# Zio (india) problem i don't know how to solve such problems

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