17. Find the middle term of the AP 6, 13, 20, ..., 216.
Answers 1
Answer: The middle term will be 111
Step-by-step explanation:
a= 6,
d= 13-6=7
tn= 216
tn= a+(n-1)d
216= 6+(n-1)*7
216= 6+7n-7
7n= 216-6+7
7n= 217
n= 31
Now, as n is odd so middle term will be in (n+1)/2 th term.
So, (31+1)/2 th term will be middle term.
=16th term.
Now, t16= 6+(16-1)*7
= 6+15*7
=6+105
t16= 111
Therefore, The middle term of the given AP series will be 111
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