Question

Find the 9th term of an ap from the end of ap 5,9,13,......,186

Answer 1

Answer:154

Step-by-step explanation:

a=186

d= -(9-5)

=-4

a9=a+8d

=186+(8*-4)

=186-32

=154

Answer 2

let a be the first term d be the common difference.

a=5, d=4

Let l be the last term .

l=186

l= a+(n-1)d

186=5+(n-1)4

186-5=(n-1)4

181/4=n-1

181/4+1=n

n=181+4/4

=185/4

=46.25

=46terms

So 9th term will be equal to 46-9=37th term

a37=5+36d

=5+144

=149

so the 9th term of an ap from the end =149