Find the middle term if A.P.6,13,20,......216
Answers
Answered by
3
say correctly your questions i cant understand. .....
Answered by
5
Given AP is :- 6,13,20,.......216
First we have to find the number of terms exist in given AP:-)
The formula is l=a+(n-1) d
l=216, a=6, d=13-6=7
216=6+(n-1) 7
216-6=7n-7
210=7n-7
210+7=7n
217=7n
7n=217
n=217/7 => n=31
So, total number of terms=31
The middle term=31+1/2=16
So,16th term is middle term
Now we apply the formula=>
a(n)=a+(n-1) d
=6+(16-1)7
=6+(15) 7
=6+105
=111. Answer
First we have to find the number of terms exist in given AP:-)
The formula is l=a+(n-1) d
l=216, a=6, d=13-6=7
216=6+(n-1) 7
216-6=7n-7
210=7n-7
210+7=7n
217=7n
7n=217
n=217/7 => n=31
So, total number of terms=31
The middle term=31+1/2=16
So,16th term is middle term
Now we apply the formula=>
a(n)=a+(n-1) d
=6+(16-1)7
=6+(15) 7
=6+105
=111. Answer
Similar questions