Question

which term of the sequence 104,97,90,83.............is the first negative term​

Answer 1

Hi ,

114 , 109 , 104 , ... is in A.P

First term = a = 114

Common difference = a2 - a1

d = 109 - 114

d = -5

Let n th term of A.P = 0

a + ( n - 1 )d = 0

114 + ( n - 1 ) ( -5 ) = 0

114 - 5n + 5 = 0

119 - 5n = 0

-5n = - 119

n = 119/5

n = 23.4

Therefore ,

24 th term of given A. P is first

negative number .

a24 = a + 23d

= 114 + 23( - 5 )

= 114 - 115

= -1 ( negative number )

I hope this helps you.  : )

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