Which terms of the AP: 213, 207, 201… is last positive term?
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Answer:
The last positive term in the sequence is: .
Step-by-step explanation:
The nth term in an A.P. is given by the formula :
where a is the first term of an A.P. and d is the common difference.
We have to find such n for which
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 , after which
We could see it as well:
.
Hence, the last positive term in the sequence is: .
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