Math, asked by alanalias14, 1 year ago

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

Answers

Answered by Anonymous
2
hey mate

here is your answer
Attachments:
Answered by virtuematane
5

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}&lt;0

We could see it as well:

 a_{37}=-3.

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



Similar questions