CBSE Class 12-science Answered
Find the 1000th term of sequence 1,2,2,3,3,3,4,4,4,4,...
Asked by thebluebloo | 13 Apr, 2009, 08:37: AM
Expert Answer
1,2,2,3,3,3,4,4,4,4,5,5,5,5,5.......................................
| Term value | Number of times | Cumulative Frequency | Difference |
| 1 | 1 | 1 | 0 |
| 2 | 2 | 3 | 2 |
| 3 | 3 | 6 | 3 |
| 4 | 4 | 10 | 4 |
| .. | .. | .. | .. |
| n | n | n(n+1)/2 | n |
The series of difference term is an AP.
Tn = n (n+1) / 2
1000 = n(n+1)/2
n = 44.2
Its nearest integral value is 44.
So, 44 is the value of the 1000th term of the series 1,2,2,3,3,3,4,4,4,4................
Answered by | 19 May, 2009, 01:59: PM
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