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In a sequence 1,2,2,3,3,3,4,4,4,4......., where n consecutive terms have the value n, the 150th term is (a) 17 (b) 16 (c) 18 (d) none of these

In a sequence 1,2,2,3,3,3,4,4,4,4......., where n consecutive terms have the value n, the 150th term is
(a) 17
(b) 16
(c) 18
(d) none of these

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Grade:12th pass

1 Answers

Deepak Kumar Shringi
askIITians Faculty 4404 Points
5 years ago
look to find 150 term here 1 is ocurring at one 2 at twice and so on in this way
sum of them will be =1+2+3+4+5+6....
=n(n+1)/2 and 150 should be equal to this
150=n(n+1)/2
n=approx 17
so number is 17

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