Question

Which term of the AP: 241, 236, 231, …… is the first negative term?

Answer 1

an = a + (n-1)d

an = 241+(n-1)-5

an = 241 -5n+5<0

246< 5n

n> 246/5

n> 49.2

The first negative term is the 49th term
Here's Your Answer

Answer 2

Answer:

n=49th term

Explanation:

a = 241

d = a2 - a1

= 236 - 241

= -5

Let the first negative integer be -1.

then An = a + (n - 1)d

=> -1 = 241 + (n - 1)-5

=> -1 = 241-5n +5

=> -1 = 246 -5n

=> -1-246 = -5n

=> -247 = -5n

=> -247/-5 = n

=> 49.4 = n

Therefore the 49th term will be the first negative term of the ap.