Find the middle term of AP: 213,205,197......,37
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23
Step-by-step explanation:
First We have to find how many terms there are in AP
n=? a =213 d = -8 Last term tn = 37
tn =a+(n-1)d
37 =213+(n-1)-8
37=213-8n+8
37=221-8n
37-221= -8n
-184=-8n
-184/-8= n
n=23
12 term will be middle term
tn=a+(n-1)d
t12=213+(12-1)-8
= 213+(11)-8
= 213-88
= 125
125 is the middle term of given AP
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