Question

29. Which term of A.P., 100, 97, 94, 91,......will be its first negative term ?

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Answer 1

a=100

a2=97

d=a2-a=97-100= -3

first negative term means an<0

so,we have to find n

an=a+(n-1)d

an=100+(n-1)-3

an=100+(-3n)+3

an=103-3n

now,

an<0

103-3n<0

103<3n

103/3<n

34.3333...<n

So the first term which will be negative is 35th