Question

# Find the middle term of the AP $$6,13, 20 ,........,216$$.

Solution

## Given,$$a=6$$$$d=13-6=7$$$$T_n=a+(n-1)d$$$$216=6+(n-1)7$$$$\therefore n=31$$If $$n$$ is odd then the middle term is $$\dfrac {n+1}{2}$$ Middle term, $$=\dfrac{31+1}{2}=16$$$$T_{16}=6+(16-1)7=111$$.Mathematics

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