Question

which term of the sequence 114,109,104,.....is the first negative term​

Answer 1

ANSWER:

• First negative term of the A.P is 24th term

GIVEN:

• 114,109,104 .....

TO FIND:

• First negative term of the above sequence.

SOLUTION:

114,109,104 ......

Common difference = 109-114

= (-5)

Common difference = 104-109

= (-5)

Given sequence is in A.P.

Formula:

nth term = a+(n-1)d

Where:

=> a= first term.

=> n = number of terms.

=> d = Common difference.

Here :

=> First term (a) = 114

=> Common difference (d) = (-5)

Now for first negative term:

=> a+(n-1)d <0

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

=> 114-5n+5 < 0

=> 119 -5n < 0

=> 119 < 5n

=> 119/5 < n

=> 23.8 < n

So n = 24th term.

First negative term of the A.P is 24th term