Question

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

Answer 1

this is the answer
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Answer 2

Answer: 30 terms

Step-by-step explanation:

AP = 121 , 117 , 113  

a = 121  

d => 117 - 121 = -4

$\bf\huge => a_{n} = a + (n - 1)d$

=> 121 - 4n + 4 = 125 - 4n  

1st Negative term

$\bf\huge = a_{n} < 0$

= 125 - 4 < 0  

= 125 < 4n  

$\bf\huge = \frac{125}{4} < n$

$\bf\huge = 31 \frac{1}{4} < n$

Here n is an integer and n >31 $\frac{1}{4}$

First Negative Term = Thirty term