Which term of the AP: 121, 117, 113, . . ., isits first negative term?

[Hint: Find n for ]

Here; a = 121 and d = -4


The first negative term will be less than zero. Moreover, each term gives 1 as remainder when divided by 4. So the last positive term should be5.


Let us check the value of n for an = 5.


5 = a + (n – 1)d


121 + (n – 1) (- 4) = 5


121 – 4n + 4 = 5


125 – 4n = 5


4n = 120


n = 30


Thus, a31 = 5 – 4


= 1


Therefore, 32nd term will be the first negative term.


5