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Which term of the sequence 114,109,104....is …

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Which term of the sequence 114,109,104....is the first negative term

Posted by Krishna Bansal 6 years, 11 months ago

CBSE > Class 08 > Mathematics

1 answers

Yogita Ingle 6 years, 11 months ago

a = 114, d= -5

nth term = a+(n-1)d

according to the question we need to find a term so that :

a+(n-1)d < 0

114 + (n-1)(-5) < 0

114 -5n + 5 < 0

119 - 5n < 0

119 < 5n

23.8 < n

or we can say from 24th term all terms will be negative.
a₂₄ = a + 23d

= 114 + 23( - 5 )

= 114 - 115

= -1 ( negative number )

1Thank You

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CBSE > Class 08 > Mathematics