Find the middle term of the ap 10,7,4......,(-62)
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Answer:- the given a.p is 10,7,4,........(-62)
Here, first term (a) is 10
Common difference (d) is 7-10= -3
And last term (l) is -62
If this n terms are in the given a.p then,
an= -62
So, we know the general term is a+(n-1)d=l
Putting the values we get,
10+(n-1)(-3)= -62
=> -3(n-1)= -62-10= -72
=> (n-1)= 72/3=24
=> n= 24+1=25
Thus, the given a.p contains 25 terms.
Now the middle term,
= {25+1/2}th term
= 13the term
= 10+(13-1)(-3)
= 10-36
= -26 (ANS)
I hope its helps you.......
Thank you......
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