2000 < √n+(n+2) < 2009
no. of positive integers possible?
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65
We know that 2^10 = 1024 < 2000 < 2048 = 2^11
Since 2^10+2^9 = 1536 < 2000, any combination of 2^m + 2^n < 2000 (as long as both m or n are not 10)
So, we would have the following possibilities;
2^10 + 2^n, (n = 1,2….9)
2^9 + 2^n, (n = 1,2….8)
And so on;
Therefore, the answer is (10*11)/2 = 65.
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