which term of an A.P 24,21,18,15,....Is the first negative term?
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the common difference is -3
. ' . 18 - 3 = 15
15 - 3 = 12
12 - 3 = 9
9 - 3 = 6
6 - 3 = 3
3 - 3 = 0
0 - 3 = -3
. ' . 1st term = 24 , 2nd term = 21 , ..... 10th term = - 3
. ' . 10th term is the first negative term of the given AP .
. ' .C.10th is the required solution.
a= 24
d= -3
n=?
Let us first find which term will be 0.
Using the formula : an= a+(n-1)d
0=24-(n-1)(-3)
24–3n+3=0
n= 9
So 9th term will be 0. Hence 10 term will be first negative. Again using the same formula where n= 10, we get,
An= 24+9(-3)=-3
Hence first negative term is -3.
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