Question

The first negative term of the A.P. 226 , 215 , 204 , is-

Answer 1

Step-by-step explanation:

...,... .................

Answer 2

Answer:

22nd term = -5

Step-by-step explanation:

AP: 226, 215, 204, ...

Its common difference would be:-

d = 215-226 = -11

Any general term for this AP can be written as:-

$T_{r}=a+(n-1)d$

Here, a = 226; d = -11

To find the first negative term in this AP, form a relation using the general term:-

$a+(n-1)d < 0 \\ \\ \\226+(n-1)(-11) < 0 \\ \\ \\226 < 11n-11 \\ \\ \\237 < 11n \\ \\ \\n > \dfrac{237}{11} \\ \\ \\n > 21.5$

First whole number greater than 21.5 is 22.

Therefore, 22nd term in this AP will be negative.

22nd term here is $226+(22-1)(-11) = -5$