CBSE Class 10 Answered
Which term of seqence 114,109,104 .... is the first negative term?
Asked by | 03 Mar, 2008, 10:02: PM
Expert Answer
Solution
Here series is 114,109,104.......
Common differnce(d)109 - 114 = 104 - 109 = - 5.
Therefore given sequence is an A.P.
First term (a) = 114
Common difference (d) = - 5
For finding first negative term
Tn < 0
a + (n - 1)d < 0
114 + (n - 1)(- 5) < 0
114 - 5n + 5 < 0
119 - 5n < 0
or - 5n < - 119
or 5n > 119
or n > 119/5
n > 23.8
Therefore first negative term is 24
Answered by | 04 Mar, 2008, 03:50: PM
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