Question

156 , 144 ,153 , 141 , 150, 138 , ? Which term of the given series would be the first one to be negative

Answer 1

a = 156

d = 144-156 = -12

nth term < 0

a+(n-1)d < 0

156+(n-1)×-12 < 0

-12(n-1) < -156

n-1 < 13

n < 14

Hence, the 15th term will be the first negative term

a15 = a+14d = 156+14×-12 = 156-168 = -12

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