Question

The 9th term of an A.P. is 449 and 449th term is 9. The term which is equal to zero is

(a) 501^th

(b) 502^th

(c) 508^th

(d) none of these

Answer 1

In the given problem, let us take the first term as a and the common difference as d.

Here, we are given that,

We need to find n

Also, we know,

For the 9^th term (n = 9),

Similarly, for the 449^th term (n = 449),

Subtracting (3) from (4), we get,

Now, to find a, we substitute the value of d in (3),

So, for the given A.P

So, let us take the term equal to zero as the n^th term. So,

So,

Therefore, the correct option is (d).