Question

Which terms of the AP: 213, 207, 201… is last positive term?

Answer 1

hey mate

here is your answer

Answer 2

Answer:

The last positive term in the sequence is:  $a_{36}$.

Step-by-step explanation:

The nth term in an A.P. is given by the formula :

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

where a is the first term of an A.P. and d is the common difference.

We have to find such n for which $a_{n}>0$

this means a+(n-1)d>0

In the given question we have a=213 and d= -6

213+(n-1)(-6)>0

213-6n+6>0

219-6n>0

6n<219

n<(219/6)

n<36.5

for n=36 we have $a_{36}=3$ , after which $a_{n}<0$

We could see it as well:

 $a_{37}=-3$.

Hence, the last positive term in the sequence is:  $a_{36}$.