Question

Find the middle term of the ap 10,7,4......,(-62)

Answer 1

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......