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Which term of the AP 24,21,18,15,.......Is …

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Which term of the AP 24,21,18,15,.......Is the first negative term?

Posted by Saurabh Tripathi 5 years, 5 months ago

CBSE > Class 10 > Mathematics

3 answers

Yogita Ingle 5 years, 5 months ago

Let nth term of the given AP be the first negative term.

AP = 24 , 21 , 18

Here,

First term ( a ) = 24

Commmon difference ( d ) = 21-24 = -4.
Then , Tn <0=> { a + ( n - 1 ) × d } <0
=> { 24 + ( n - 1 ) × -3 } <0

=> 27 - 3n <0

=> 27 < 3n

=> 3n > 27

=> n = 9.

n = 10

Hence,

The 10th term is the first negative term of the given AP.

0Thank You

Pushpa Yadav 5 years, 5 months ago

-3

1Thank You

Chaitanya Thakkar 5 years, 5 months ago

-3

0Thank You

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