Infinite , but easy.

Calculus Level 2

Consider the infinite sequence:, 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, ...

What is the 1000th term?


The answer is 45.

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Nihar Mahajan by Nihar Mahajan , 20, India

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3 solutions

Brock Brown
Feb 3, 2015 
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terms = 0
current = 0
while terms < 1000:
    current += 1
    terms += current
print "Answer:", current

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Suhail Shah
Feb 1, 2015

Solving n(n+1)/2=1000 Yields n=44.2 next integer is 45 Hence 1000th term will be 45

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Did not understand your solution

Khushi Mehta - 4 years, 6 months ago

1+2= nth of the last "two" so we can use the Total Law to know that

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