Question

the nth and (n+8)th term of ap is 10 and 36 respectocely. Find the value of therm exactly in between them.​

Answer 1

Answer:

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Answer 2

Answer:

Here; nth= 10 and (n+8)th =36

an= 10

Let n=1

so, a1= 10

A/Q

a(n+8)= 36

a9=36 (since n=1)

a+(9-1)d=36

a+8d=36

10+8d=36 (since a= 10)

8d=36-10

8d =26

d=26/8

d=13/4

Now,we have

a=10,d=13/4

we have to find middle term between a1 and a9

so,the middle term is

n+1/2

9+1/2

5th term

Now,

a5=a+(n-1)d

=10+(5-1)13/4

=10+4×13/4

=10 +13

=23

Hence a5= 23