Which term of AP 135, 131, 127,.....is its first negative term
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It will help u ... Firstly we will take an term=0
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AP is 135,131,127
the nth term of an AP is given by
an=a+(n-1)d
here, a=135
d=131-135= -4
let the nth term of the AP be its first negative term
an<0
a+(n-1)d<0
135+(n-1)-4
135-4n+4<0
139-4n<0
139<4n
4n>139
n>139/4
n>34.75
so, 35 is its first negative term
the nth term of an AP is given by
an=a+(n-1)d
here, a=135
d=131-135= -4
let the nth term of the AP be its first negative term
an<0
a+(n-1)d<0
135+(n-1)-4
135-4n+4<0
139-4n<0
139<4n
4n>139
n>139/4
n>34.75
so, 35 is its first negative term
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